\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  31.0 & +  1.00 x_{1} & +  2.00 x_{2} & +  8.00 x_{3} & +  7.00 x_{4} & +  2.00 x_{5} &   & +  1.00 x_{7} & -7.00 x_{8} & -1.00 x_{9} & -8.00 x_{10} & +  2.00 x_{11} & -9.00 x_{12} &   & +  7.00 x_{14} & -1.00 x_{15} & -4.00 x_{16}\\
 x_{18}   &  -1.0 & -2.00 x_{1} & -9.00 x_{2} & +  6.00 x_{3} & -8.00 x_{4} & -6.00 x_{5} & +  7.00 x_{6} & +  3.00 x_{7} & -7.00 x_{8} & +  7.00 x_{9} & +  4.00 x_{10} & +  3.00 x_{11} & +  5.00 x_{12} & -8.00 x_{13} & +  5.00 x_{14} & -3.00 x_{15} & +  8.00 x_{16}\\
 x_{19}   &  -9.0 & -2.00 x_{1} & +  2.00 x_{2} &   & +  2.00 x_{4} & +  3.00 x_{5} & + 10.00 x_{6} & -2.00 x_{7} & +  4.00 x_{8} & +  4.00 x_{9} & -1.00 x_{10} & -4.00 x_{11} & +  5.00 x_{12} & -1.00 x_{13} & +  6.00 x_{14} & -9.00 x_{15} & -8.00 x_{16}\\
 x_{20}   &  43.0 & +  4.00 x_{1} & +  8.00 x_{2} & -3.00 x_{3} & -8.00 x_{4} & -4.00 x_{5} & -10.00 x_{6} & -8.00 x_{7} & -8.00 x_{8} & +  4.00 x_{9} & +  3.00 x_{10} & +  4.00 x_{11} & + 10.00 x_{12} & -7.00 x_{13} & -1.00 x_{14} & +  5.00 x_{15} & +  4.00 x_{16}\\
 x_{21}   &  -3.0 & +  1.00 x_{1} & +  9.00 x_{2} & -4.00 x_{3} & -1.00 x_{4} & +  6.00 x_{5} & +  1.00 x_{6} & +  2.00 x_{7} & -4.00 x_{8} & -6.00 x_{9} & -1.00 x_{10} & -9.00 x_{11} & -1.00 x_{12} & +  6.00 x_{13} & + 10.00 x_{14} & +  3.00 x_{15} & -2.00 x_{16}\\
 x_{22}   &  10.0 & -6.00 x_{1} & +  2.00 x_{2} & -3.00 x_{3} & +  2.00 x_{4} & -3.00 x_{5} & +  7.00 x_{6} & +  8.00 x_{7} & -9.00 x_{8} & -8.00 x_{9} & + 10.00 x_{10} & -4.00 x_{11} & +  8.00 x_{12} & -4.00 x_{13} & -8.00 x_{14} & -1.00 x_{15} & +  1.00 x_{16}\\
 x_{23}   &  78.0 & +  2.00 x_{1} & -4.00 x_{2} & + 10.00 x_{3} & +  4.00 x_{4} & +  9.00 x_{5} & +  4.00 x_{6} & -7.00 x_{7} & -9.00 x_{8} & -4.00 x_{9} & -3.00 x_{10} & -8.00 x_{11} &   & -9.00 x_{13} & -3.00 x_{14} & -6.00 x_{15} & +  8.00 x_{16}\\
 x_{24}   &  -24.0 & -4.00 x_{1} & -2.00 x_{2} & +  7.00 x_{3} & +  4.00 x_{4} & -1.00 x_{5} & +  3.00 x_{6} & + 10.00 x_{7} & -7.00 x_{8} & +  1.00 x_{9} & -2.00 x_{10} & +  1.00 x_{11} & +  7.00 x_{12} & + 10.00 x_{13} & -8.00 x_{14} & +  5.00 x_{15} & -4.00 x_{16}\\
 x_{25}   &  46.0 & -9.00 x_{1} & -3.00 x_{2} & +  4.00 x_{3} & -9.00 x_{4} & +  3.00 x_{5} & -10.00 x_{6} & -6.00 x_{7} & -8.00 x_{8} & -10.00 x_{9} & +  7.00 x_{10} & +  3.00 x_{11} & +  1.00 x_{12} & +  7.00 x_{13} & +  1.00 x_{14} & +  4.00 x_{15} & -2.00 x_{16}\\
 x_{26}   &  47.0 & +  7.00 x_{1} & -5.00 x_{2} & -7.00 x_{3} &   & +  6.00 x_{5} & -4.00 x_{6} & +  5.00 x_{7} & -4.00 x_{8} & -5.00 x_{9} & -8.00 x_{10} & -5.00 x_{11} & -6.00 x_{12} & -9.00 x_{13} &   & +  7.00 x_{15} & +  6.00 x_{16}\\
 x_{27}   &  -9.0 & +  1.00 x_{1} & +  4.00 x_{2} & + 10.00 x_{3} & +  8.00 x_{4} & +  6.00 x_{5} & -5.00 x_{6} & -5.00 x_{7} & +  6.00 x_{8} & +  6.00 x_{9} & -1.00 x_{10} & -5.00 x_{11} & +  7.00 x_{12} & + 10.00 x_{13} & +  8.00 x_{14} & +  3.00 x_{15} & -2.00 x_{16}\\
 x_{28}   &  60.0 & +  1.00 x_{1} & +  3.00 x_{2} & +  1.00 x_{3} & -9.00 x_{4} & +  1.00 x_{5} & +  2.00 x_{6} & -4.00 x_{7} & -4.00 x_{8} & -5.00 x_{9} & -1.00 x_{10} & -6.00 x_{11} & +  2.00 x_{12} & -1.00 x_{13} & -2.00 x_{14} & +  8.00 x_{15} & -9.00 x_{16}\\
 x_{29}   &  -22.0 & -9.00 x_{1} & +  2.00 x_{2} & -9.00 x_{3} & +  8.00 x_{4} & +  2.00 x_{5} & -9.00 x_{6} & + 10.00 x_{7} & -9.00 x_{8} & +  9.00 x_{9} & +  5.00 x_{10} & -1.00 x_{11} & +  1.00 x_{12} & + 10.00 x_{13} & -4.00 x_{14} & -2.00 x_{15} & +  7.00 x_{16}\\
 x_{30}   &  -2.0 & -7.00 x_{1} & +  6.00 x_{2} & -9.00 x_{3} & +  9.00 x_{4} & +  5.00 x_{5} & -3.00 x_{6} & +  1.00 x_{7} & +  3.00 x_{8} & -7.00 x_{9} & +  5.00 x_{10} & -2.00 x_{11} & +  1.00 x_{12} & +  1.00 x_{13} & +  4.00 x_{14} & +  4.00 x_{15} & -5.00 x_{16}\\
 x_{31}   &  35.0 & +  2.00 x_{1} & +  4.00 x_{2} & -9.00 x_{3} & -2.00 x_{4} & -8.00 x_{5} & +  9.00 x_{6} & -10.00 x_{7} & -6.00 x_{8} & -10.00 x_{9} & +  8.00 x_{10} & -4.00 x_{11} & -8.00 x_{12} & +  3.00 x_{13} & -4.00 x_{14} &   & +  2.00 x_{16}\\
 x_{32}   &  77.0 & -1.00 x_{1} & +  1.00 x_{2} & +  1.00 x_{3} & -9.00 x_{4} & +  3.00 x_{5} & -9.00 x_{6} & +  7.00 x_{7} & +  8.00 x_{8} & -8.00 x_{9} & -9.00 x_{10} & -5.00 x_{11} & -4.00 x_{12} & -6.00 x_{13} &   & -6.00 x_{15} &   \\
\hline
z    &  0.0 & -1.00 x_{1} & +  2.00 x_{2} & -1.00 x_{3} & -2.00 x_{4} & +  2.00 x_{5} & +  5.00 x_{6} & +  4.00 x_{7} & +  5.00 x_{8} & +  1.00 x_{9} &   & -5.00 x_{11} & -4.00 x_{12} &   & +  1.00 x_{14} & +  5.00 x_{15} & -3.00 x_{16}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{16}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,32$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & -1.00 y_{17} & +  2.00 y_{18} & +  2.00 y_{19} & -4.00 y_{20} & -1.00 y_{21} & +  6.00 y_{22} & -2.00 y_{23} & +  4.00 y_{24} & +  9.00 y_{25} & -7.00 y_{26} & -1.00 y_{27} & -1.00 y_{28} & +  9.00 y_{29} & +  7.00 y_{30} & -2.00 y_{31} & +  1.00 y_{32}\\
 y_{2}   &  1.0 & -2.00 y_{17} & +  9.00 y_{18} & -2.00 y_{19} & -8.00 y_{20} & -9.00 y_{21} & -2.00 y_{22} & +  4.00 y_{23} & +  2.00 y_{24} & +  3.00 y_{25} & +  5.00 y_{26} & -4.00 y_{27} & -3.00 y_{28} & -2.00 y_{29} & -6.00 y_{30} & -4.00 y_{31} & -1.00 y_{32}\\
 y_{3}   &  1.0 & -8.00 y_{17} & -6.00 y_{18} &   & +  3.00 y_{20} & +  4.00 y_{21} & +  3.00 y_{22} & -10.00 y_{23} & -7.00 y_{24} & -4.00 y_{25} & +  7.00 y_{26} & -10.00 y_{27} & -1.00 y_{28} & +  9.00 y_{29} & +  9.00 y_{30} & +  9.00 y_{31} & -1.00 y_{32}\\
 y_{4}   &  1.0 & -7.00 y_{17} & +  8.00 y_{18} & -2.00 y_{19} & +  8.00 y_{20} & +  1.00 y_{21} & -2.00 y_{22} & -4.00 y_{23} & -4.00 y_{24} & +  9.00 y_{25} &   & -8.00 y_{27} & +  9.00 y_{28} & -8.00 y_{29} & -9.00 y_{30} & +  2.00 y_{31} & +  9.00 y_{32}\\
 y_{5}   &  1.0 & -2.00 y_{17} & +  6.00 y_{18} & -3.00 y_{19} & +  4.00 y_{20} & -6.00 y_{21} & +  3.00 y_{22} & -9.00 y_{23} & +  1.00 y_{24} & -3.00 y_{25} & -6.00 y_{26} & -6.00 y_{27} & -1.00 y_{28} & -2.00 y_{29} & -5.00 y_{30} & +  8.00 y_{31} & -3.00 y_{32}\\
 y_{6}   &  1.0  &   & -7.00 y_{18} & -10.00 y_{19} & + 10.00 y_{20} & -1.00 y_{21} & -7.00 y_{22} & -4.00 y_{23} & -3.00 y_{24} & + 10.00 y_{25} & +  4.00 y_{26} & +  5.00 y_{27} & -2.00 y_{28} & +  9.00 y_{29} & +  3.00 y_{30} & -9.00 y_{31} & +  9.00 y_{32}\\
 y_{7}   &  1.0 & -1.00 y_{17} & -3.00 y_{18} & +  2.00 y_{19} & +  8.00 y_{20} & -2.00 y_{21} & -8.00 y_{22} & +  7.00 y_{23} & -10.00 y_{24} & +  6.00 y_{25} & -5.00 y_{26} & +  5.00 y_{27} & +  4.00 y_{28} & -10.00 y_{29} & -1.00 y_{30} & + 10.00 y_{31} & -7.00 y_{32}\\
 y_{8}   &  1.0 & +  7.00 y_{17} & +  7.00 y_{18} & -4.00 y_{19} & +  8.00 y_{20} & +  4.00 y_{21} & +  9.00 y_{22} & +  9.00 y_{23} & +  7.00 y_{24} & +  8.00 y_{25} & +  4.00 y_{26} & -6.00 y_{27} & +  4.00 y_{28} & +  9.00 y_{29} & -3.00 y_{30} & +  6.00 y_{31} & -8.00 y_{32}\\
 y_{9}   &  1.0 & +  1.00 y_{17} & -7.00 y_{18} & -4.00 y_{19} & -4.00 y_{20} & +  6.00 y_{21} & +  8.00 y_{22} & +  4.00 y_{23} & -1.00 y_{24} & + 10.00 y_{25} & +  5.00 y_{26} & -6.00 y_{27} & +  5.00 y_{28} & -9.00 y_{29} & +  7.00 y_{30} & + 10.00 y_{31} & +  8.00 y_{32}\\
 y_{10}   &  1.0 & +  8.00 y_{17} & -4.00 y_{18} & +  1.00 y_{19} & -3.00 y_{20} & +  1.00 y_{21} & -10.00 y_{22} & +  3.00 y_{23} & +  2.00 y_{24} & -7.00 y_{25} & +  8.00 y_{26} & +  1.00 y_{27} & +  1.00 y_{28} & -5.00 y_{29} & -5.00 y_{30} & -8.00 y_{31} & +  9.00 y_{32}\\
 y_{11}   &  1.0 & -2.00 y_{17} & -3.00 y_{18} & +  4.00 y_{19} & -4.00 y_{20} & +  9.00 y_{21} & +  4.00 y_{22} & +  8.00 y_{23} & -1.00 y_{24} & -3.00 y_{25} & +  5.00 y_{26} & +  5.00 y_{27} & +  6.00 y_{28} & +  1.00 y_{29} & +  2.00 y_{30} & +  4.00 y_{31} & +  5.00 y_{32}\\
 y_{12}   &  1.0 & +  9.00 y_{17} & -5.00 y_{18} & -5.00 y_{19} & -10.00 y_{20} & +  1.00 y_{21} & -8.00 y_{22} &   & -7.00 y_{24} & -1.00 y_{25} & +  6.00 y_{26} & -7.00 y_{27} & -2.00 y_{28} & -1.00 y_{29} & -1.00 y_{30} & +  8.00 y_{31} & +  4.00 y_{32}\\
 y_{13}   &  1.0  &   & +  8.00 y_{18} & +  1.00 y_{19} & +  7.00 y_{20} & -6.00 y_{21} & +  4.00 y_{22} & +  9.00 y_{23} & -10.00 y_{24} & -7.00 y_{25} & +  9.00 y_{26} & -10.00 y_{27} & +  1.00 y_{28} & -10.00 y_{29} & -1.00 y_{30} & -3.00 y_{31} & +  6.00 y_{32}\\
 y_{14}   &  1.0 & -7.00 y_{17} & -5.00 y_{18} & -6.00 y_{19} & +  1.00 y_{20} & -10.00 y_{21} & +  8.00 y_{22} & +  3.00 y_{23} & +  8.00 y_{24} & -1.00 y_{25} &   & -8.00 y_{27} & +  2.00 y_{28} & +  4.00 y_{29} & -4.00 y_{30} & +  4.00 y_{31} &   \\
 y_{15}   &  1.0 & +  1.00 y_{17} & +  3.00 y_{18} & +  9.00 y_{19} & -5.00 y_{20} & -3.00 y_{21} & +  1.00 y_{22} & +  6.00 y_{23} & -5.00 y_{24} & -4.00 y_{25} & -7.00 y_{26} & -3.00 y_{27} & -8.00 y_{28} & +  2.00 y_{29} & -4.00 y_{30} &   & +  6.00 y_{32}\\
 y_{16}   &  1.0 & +  4.00 y_{17} & -8.00 y_{18} & +  8.00 y_{19} & -4.00 y_{20} & +  2.00 y_{21} & -1.00 y_{22} & -8.00 y_{23} & +  4.00 y_{24} & +  2.00 y_{25} & -6.00 y_{26} & +  2.00 y_{27} & +  9.00 y_{28} & -7.00 y_{29} & +  5.00 y_{30} & -2.00 y_{31} &   \\
\hline
z    &  -0 & -31.00 y_{17} & +  1.00 y_{18} & +  9.00 y_{19} & -43.00 y_{20} & +  3.00 y_{21} & -10.00 y_{22} & -78.00 y_{23} & + 24.00 y_{24} & -46.00 y_{25} & -47.00 y_{26} & +  9.00 y_{27} & -60.00 y_{28} & + 22.00 y_{29} & +  2.00 y_{30} & -35.00 y_{31} & -77.00 y_{32}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 13 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  2.31204056916 & -8.63 y_{17} & -0.20 y_{14} & -0.77 y_{7} & +  4.72 y_{20} & +  0.03 y_{12} & -0.92 y_{22} & -3.13 y_{23} & +  0.51 y_{13} & + 25.10 y_{25} & -15.02 y_{26} & -0.22 y_{27} & +  9.49 y_{28} & -0.12 y_{9} & -0.76 y_{4} & + 10.54 y_{31} & +  0.23 y_{32}\\
 y_{2}   &  0.276131755397 & +  6.11 y_{17} & +  0.51 y_{14} & -0.40 y_{7} & -15.95 y_{20} & -0.27 y_{12} & -12.40 y_{22} & +  1.11 y_{23} & +  0.67 y_{13} & +  8.53 y_{25} & -0.78 y_{26} & +  8.85 y_{27} & -6.07 y_{28} & -0.13 y_{9} & +  0.34 y_{4} & +  2.72 y_{31} & -8.80 y_{32}\\
 y_{3}   &  1.88744574726 & -30.76 y_{17} & -0.61 y_{14} & -0.47 y_{7} & + 24.98 y_{20} & +  1.22 y_{12} & + 12.74 y_{22} & -10.49 y_{23} & +  0.27 y_{13} & + 13.35 y_{25} & -3.86 y_{26} & -11.13 y_{27} & + 14.96 y_{28} & -0.26 y_{9} & -1.04 y_{4} & + 11.88 y_{31} & +  0.64 y_{32}\\
 y_{30}   &  0.0296274776304 & -0.72 y_{17} & -0.01 y_{14} & -0.06 y_{7} & +  0.75 y_{20} & +  0.00 y_{12} & -1.20 y_{22} & -0.66 y_{23} & +  0.08 y_{13} & +  1.13 y_{25} & -1.24 y_{26} & +  0.67 y_{27} & +  0.64 y_{28} & +  0.04 y_{9} & -0.07 y_{4} & +  0.64 y_{31} & -0.62 y_{32}\\
 y_{5}   &  0.210848974992 & +  3.29 y_{17} & +  0.40 y_{14} & -0.35 y_{7} & -0.17 y_{20} & -0.04 y_{12} & -4.32 y_{22} & -10.45 y_{23} & +  0.47 y_{13} & -0.04 y_{25} & -11.58 y_{26} & +  5.95 y_{27} & -3.90 y_{28} & -0.03 y_{9} & +  0.35 y_{4} & + 11.29 y_{31} & -10.99 y_{32}\\
 y_{19}   &  0.128493987441 & +  0.65 y_{17} & -0.03 y_{14} & +  0.11 y_{7} & -1.40 y_{20} & -0.09 y_{12} & +  0.89 y_{22} & -0.08 y_{23} & -0.05 y_{13} & -0.52 y_{25} & +  1.80 y_{26} & -2.36 y_{27} & -0.11 y_{28} & -0.05 y_{9} & -0.02 y_{4} & +  0.08 y_{31} & +  1.98 y_{32}\\
 y_{6}   &  0.245318142412 & -19.26 y_{17} & +  0.15 y_{14} & -1.02 y_{7} & + 36.39 y_{20} & +  1.73 y_{12} & -5.27 y_{22} & -3.42 y_{23} & +  0.44 y_{13} & + 26.02 y_{25} & -15.37 y_{26} & + 23.43 y_{27} & +  9.66 y_{28} & -0.01 y_{9} & -0.54 y_{4} & -10.73 y_{31} & -2.76 y_{32}\\
 y_{8}   &  1.68668817501 & +  4.27 y_{17} & -0.15 y_{14} & -1.28 y_{7} & + 18.22 y_{20} & +  0.38 y_{12} & +  4.45 y_{22} & + 20.12 y_{23} & +  0.04 y_{13} & + 13.42 y_{25} & -4.56 y_{26} & +  5.05 y_{27} & +  6.88 y_{28} & -0.10 y_{9} & +  0.42 y_{4} & + 16.60 y_{31} & -21.70 y_{32}\\
 y_{29}   &  0.0836530748385 & -0.92 y_{17} & -0.02 y_{14} & -0.04 y_{7} & +  1.03 y_{20} & +  0.06 y_{12} & +  0.68 y_{22} & +  0.42 y_{23} & -0.00 y_{13} & +  1.10 y_{25} & -0.32 y_{26} & -0.10 y_{27} & +  0.89 y_{28} & -0.05 y_{9} & -0.03 y_{4} & +  0.57 y_{31} & +  0.18 y_{32}\\
 y_{10}   &  0.536128554127 & + 19.31 y_{17} & +  0.24 y_{14} & +  0.96 y_{7} & -14.77 y_{20} & -0.54 y_{12} & -4.80 y_{22} & +  4.79 y_{23} & -0.82 y_{13} & -24.44 y_{25} & + 23.05 y_{26} & -9.02 y_{27} & -8.90 y_{28} & +  0.07 y_{9} & +  0.55 y_{4} & -18.49 y_{31} & + 17.28 y_{32}\\
 y_{11}   &  1.97233676992 & -4.59 y_{17} & -0.58 y_{14} & +  0.40 y_{7} & -2.87 y_{20} & -0.08 y_{12} & + 14.47 y_{22} & + 13.77 y_{23} & -0.72 y_{13} & -11.05 y_{25} & + 14.12 y_{26} & -9.20 y_{27} & +  5.93 y_{28} & -0.04 y_{9} & +  0.05 y_{4} & +  1.14 y_{31} & + 12.32 y_{32}\\
 y_{18}   &  0.0287642449582 & -0.12 y_{17} & -0.02 y_{14} & -0.09 y_{7} & +  0.12 y_{20} & -0.00 y_{12} & -0.80 y_{22} & +  0.11 y_{23} & +  0.07 y_{13} & +  0.83 y_{25} & -1.02 y_{26} & +  1.02 y_{27} & +  0.19 y_{28} & +  0.00 y_{9} & +  0.01 y_{4} & +  1.13 y_{31} & -1.12 y_{32}\\
 y_{24}   &  0.0210580660442 & +  1.11 y_{17} & +  0.03 y_{14} & -0.00 y_{7} & -0.71 y_{20} & -0.08 y_{12} & -1.05 y_{22} & +  0.13 y_{23} & -0.03 y_{13} & -0.80 y_{25} & +  0.56 y_{26} & -0.18 y_{27} & -0.59 y_{28} & +  0.03 y_{9} & +  0.03 y_{4} & +  0.08 y_{31} & -0.02 y_{32}\\
 y_{21}   &  0.0469781767749 & -0.23 y_{17} & -0.05 y_{14} & -0.01 y_{7} & +  0.43 y_{20} & +  0.01 y_{12} & +  0.57 y_{22} & +  0.83 y_{23} & -0.05 y_{13} & -0.85 y_{25} & +  0.25 y_{26} & -0.35 y_{27} & -0.20 y_{28} & +  0.02 y_{9} & +  0.04 y_{4} & -0.18 y_{31} & -0.32 y_{32}\\
 y_{15}   &  2.04531000045 & +  2.69 y_{17} & -0.30 y_{14} & +  0.95 y_{7} & -15.92 y_{20} & -0.34 y_{12} & + 16.36 y_{22} & +  5.92 y_{23} & -0.30 y_{13} & -2.00 y_{25} & +  6.96 y_{26} & -22.15 y_{27} & -5.66 y_{28} & -0.90 y_{9} & -0.16 y_{4} & +  2.84 y_{31} & + 24.39 y_{32}\\
 y_{16}   &  1.53859242187 & + 16.95 y_{17} & +  0.04 y_{14} & +  1.48 y_{7} & -21.59 y_{20} & -1.44 y_{12} & -1.26 y_{22} & -13.61 y_{23} & -0.79 y_{13} & -15.76 y_{25} & + 15.28 y_{26} & -22.39 y_{27} & +  0.85 y_{28} & +  0.37 y_{9} & -0.20 y_{4} & -11.14 y_{31} & + 19.64 y_{32}\\
\hline
z    &  3.73116084902 & -21.17 y_{17} & -0.11 y_{14} & -0.24 y_{7} & -46.98 y_{20} & -1.39 y_{12} & -13.79 y_{22} & -65.11 y_{23} & -1.09 y_{13} & -45.07 y_{25} & -27.15 y_{26} & -17.36 y_{27} & -54.75 y_{28} & -0.58 y_{9} & -0.32 y_{4} & -17.89 y_{31} & -59.10 y_{32}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  21.1737706799 & +  8.63 x_{1} & -6.11 x_{2} & + 30.76 x_{3} & +  0.72 x_{30} & -3.29 x_{5} & -0.65 x_{19} & + 19.26 x_{6} & -4.27 x_{8} & +  0.92 x_{29} & -19.31 x_{10} & +  4.59 x_{11} & +  0.12 x_{18} & -1.11 x_{24} & +  0.23 x_{21} & -2.69 x_{15} & -16.95 x_{16}\\
 x_{14}   &  0.113505381557 & +  0.20 x_{1} & -0.51 x_{2} & +  0.61 x_{3} & +  0.01 x_{30} & -0.40 x_{5} & +  0.03 x_{19} & -0.15 x_{6} & +  0.15 x_{8} & +  0.02 x_{29} & -0.24 x_{10} & +  0.58 x_{11} & +  0.02 x_{18} & -0.03 x_{24} & +  0.05 x_{21} & +  0.30 x_{15} & -0.04 x_{16}\\
 x_{7}   &  0.2410408384 & +  0.77 x_{1} & +  0.40 x_{2} & +  0.47 x_{3} & +  0.06 x_{30} & +  0.35 x_{5} & -0.11 x_{19} & +  1.02 x_{6} & +  1.28 x_{8} & +  0.04 x_{29} & -0.96 x_{10} & -0.40 x_{11} & +  0.09 x_{18} & +  0.00 x_{24} & +  0.01 x_{21} & -0.95 x_{15} & -1.48 x_{16}\\
 x_{20}   &  46.9790020734 & -4.72 x_{1} & + 15.95 x_{2} & -24.98 x_{3} & -0.75 x_{30} & +  0.17 x_{5} & +  1.40 x_{19} & -36.39 x_{6} & -18.22 x_{8} & -1.03 x_{29} & + 14.77 x_{10} & +  2.87 x_{11} & -0.12 x_{18} & +  0.71 x_{24} & -0.43 x_{21} & + 15.92 x_{15} & + 21.59 x_{16}\\
 x_{12}   &  1.38999982421 & -0.03 x_{1} & +  0.27 x_{2} & -1.22 x_{3} & -0.00 x_{30} & +  0.04 x_{5} & +  0.09 x_{19} & -1.73 x_{6} & -0.38 x_{8} & -0.06 x_{29} & +  0.54 x_{10} & +  0.08 x_{11} & +  0.00 x_{18} & +  0.08 x_{24} & -0.01 x_{21} & +  0.34 x_{15} & +  1.44 x_{16}\\
 x_{22}   &  13.7937012697 & +  0.92 x_{1} & + 12.40 x_{2} & -12.74 x_{3} & +  1.20 x_{30} & +  4.32 x_{5} & -0.89 x_{19} & +  5.27 x_{6} & -4.45 x_{8} & -0.68 x_{29} & +  4.80 x_{10} & -14.47 x_{11} & +  0.80 x_{18} & +  1.05 x_{24} & -0.57 x_{21} & -16.36 x_{15} & +  1.26 x_{16}\\
 x_{23}   &  65.1089135019 & +  3.13 x_{1} & -1.11 x_{2} & + 10.49 x_{3} & +  0.66 x_{30} & + 10.45 x_{5} & +  0.08 x_{19} & +  3.42 x_{6} & -20.12 x_{8} & -0.42 x_{29} & -4.79 x_{10} & -13.77 x_{11} & -0.11 x_{18} & -0.13 x_{24} & -0.83 x_{21} & -5.92 x_{15} & + 13.61 x_{16}\\
 x_{13}   &  1.09193844309 & -0.51 x_{1} & -0.67 x_{2} & -0.27 x_{3} & -0.08 x_{30} & -0.47 x_{5} & +  0.05 x_{19} & -0.44 x_{6} & -0.04 x_{8} & +  0.00 x_{29} & +  0.82 x_{10} & +  0.72 x_{11} & -0.07 x_{18} & +  0.03 x_{24} & +  0.05 x_{21} & +  0.30 x_{15} & +  0.79 x_{16}\\
 x_{25}   &  45.0719240281 & -25.10 x_{1} & -8.53 x_{2} & -13.35 x_{3} & -1.13 x_{30} & +  0.04 x_{5} & +  0.52 x_{19} & -26.02 x_{6} & -13.42 x_{8} & -1.10 x_{29} & + 24.44 x_{10} & + 11.05 x_{11} & -0.83 x_{18} & +  0.80 x_{24} & +  0.85 x_{21} & +  2.00 x_{15} & + 15.76 x_{16}\\
 x_{26}   &  27.153669294 & + 15.02 x_{1} & +  0.78 x_{2} & +  3.86 x_{3} & +  1.24 x_{30} & + 11.58 x_{5} & -1.80 x_{19} & + 15.37 x_{6} & +  4.56 x_{8} & +  0.32 x_{29} & -23.05 x_{10} & -14.12 x_{11} & +  1.02 x_{18} & -0.56 x_{24} & -0.25 x_{21} & -6.96 x_{15} & -15.28 x_{16}\\
 x_{27}   &  17.355996969 & +  0.22 x_{1} & -8.85 x_{2} & + 11.13 x_{3} & -0.67 x_{30} & -5.95 x_{5} & +  2.36 x_{19} & -23.43 x_{6} & -5.05 x_{8} & +  0.10 x_{29} & +  9.02 x_{10} & +  9.20 x_{11} & -1.02 x_{18} & +  0.18 x_{24} & +  0.35 x_{21} & + 22.15 x_{15} & + 22.39 x_{16}\\
 x_{28}   &  54.7520718047 & -9.49 x_{1} & +  6.07 x_{2} & -14.96 x_{3} & -0.64 x_{30} & +  3.90 x_{5} & +  0.11 x_{19} & -9.66 x_{6} & -6.88 x_{8} & -0.89 x_{29} & +  8.90 x_{10} & -5.93 x_{11} & -0.19 x_{18} & +  0.59 x_{24} & +  0.20 x_{21} & +  5.66 x_{15} & -0.85 x_{16}\\
 x_{9}   &  0.576817992989 & +  0.12 x_{1} & +  0.13 x_{2} & +  0.26 x_{3} & -0.04 x_{30} & +  0.03 x_{5} & +  0.05 x_{19} & +  0.01 x_{6} & +  0.10 x_{8} & +  0.05 x_{29} & -0.07 x_{10} & +  0.04 x_{11} & -0.00 x_{18} & -0.03 x_{24} & -0.02 x_{21} & +  0.90 x_{15} & -0.37 x_{16}\\
 x_{4}   &  0.317858368777 & +  0.76 x_{1} & -0.34 x_{2} & +  1.04 x_{3} & +  0.07 x_{30} & -0.35 x_{5} & +  0.02 x_{19} & +  0.54 x_{6} & -0.42 x_{8} & +  0.03 x_{29} & -0.55 x_{10} & -0.05 x_{11} & -0.01 x_{18} & -0.03 x_{24} & -0.04 x_{21} & +  0.16 x_{15} & +  0.20 x_{16}\\
 x_{31}   &  17.8874901579 & -10.54 x_{1} & -2.72 x_{2} & -11.88 x_{3} & -0.64 x_{30} & -11.29 x_{5} & -0.08 x_{19} & + 10.73 x_{6} & -16.60 x_{8} & -0.57 x_{29} & + 18.49 x_{10} & -1.14 x_{11} & -1.13 x_{18} & -0.08 x_{24} & +  0.18 x_{21} & -2.84 x_{15} & + 11.14 x_{16}\\
 x_{32}   &  59.1003866505 & -0.23 x_{1} & +  8.80 x_{2} & -0.64 x_{3} & +  0.62 x_{30} & + 10.99 x_{5} & -1.98 x_{19} & +  2.76 x_{6} & + 21.70 x_{8} & -0.18 x_{29} & -17.28 x_{10} & -12.32 x_{11} & +  1.12 x_{18} & +  0.02 x_{24} & +  0.32 x_{21} & -24.39 x_{15} & -19.64 x_{16}\\
\hline
z    &  -3.73116084902 & -2.31 x_{1} & -0.28 x_{2} & -1.89 x_{3} & -0.03 x_{30} & -0.21 x_{5} & -0.13 x_{19} & -0.25 x_{6} & -1.69 x_{8} & -0.08 x_{29} & -0.54 x_{10} & -1.97 x_{11} & -0.03 x_{18} & -0.02 x_{24} & -0.05 x_{21} & -2.05 x_{15} & -1.54 x_{16}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  21.1737706799 & +  8.63 x_{1} & -6.11 x_{2} & + 30.76 x_{3} & +  0.72 x_{30} & -3.29 x_{5} & -0.65 x_{19} & + 19.26 x_{6} & -4.27 x_{8} & +  0.92 x_{29} & -19.31 x_{10} & +  4.59 x_{11} & +  0.12 x_{18} & -1.11 x_{24} & +  0.23 x_{21} & -2.69 x_{15} & -16.95 x_{16}\\
 x_{14}   &  0.113505381557 & +  0.20 x_{1} & -0.51 x_{2} & +  0.61 x_{3} & +  0.01 x_{30} & -0.40 x_{5} & +  0.03 x_{19} & -0.15 x_{6} & +  0.15 x_{8} & +  0.02 x_{29} & -0.24 x_{10} & +  0.58 x_{11} & +  0.02 x_{18} & -0.03 x_{24} & +  0.05 x_{21} & +  0.30 x_{15} & -0.04 x_{16}\\
 x_{7}   &  0.2410408384 & +  0.77 x_{1} & +  0.40 x_{2} & +  0.47 x_{3} & +  0.06 x_{30} & +  0.35 x_{5} & -0.11 x_{19} & +  1.02 x_{6} & +  1.28 x_{8} & +  0.04 x_{29} & -0.96 x_{10} & -0.40 x_{11} & +  0.09 x_{18} & +  0.00 x_{24} & +  0.01 x_{21} & -0.95 x_{15} & -1.48 x_{16}\\
 x_{20}   &  46.9790020734 & -4.72 x_{1} & + 15.95 x_{2} & -24.98 x_{3} & -0.75 x_{30} & +  0.17 x_{5} & +  1.40 x_{19} & -36.39 x_{6} & -18.22 x_{8} & -1.03 x_{29} & + 14.77 x_{10} & +  2.87 x_{11} & -0.12 x_{18} & +  0.71 x_{24} & -0.43 x_{21} & + 15.92 x_{15} & + 21.59 x_{16}\\
 x_{12}   &  1.38999982421 & -0.03 x_{1} & +  0.27 x_{2} & -1.22 x_{3} & -0.00 x_{30} & +  0.04 x_{5} & +  0.09 x_{19} & -1.73 x_{6} & -0.38 x_{8} & -0.06 x_{29} & +  0.54 x_{10} & +  0.08 x_{11} & +  0.00 x_{18} & +  0.08 x_{24} & -0.01 x_{21} & +  0.34 x_{15} & +  1.44 x_{16}\\
 x_{22}   &  13.7937012697 & +  0.92 x_{1} & + 12.40 x_{2} & -12.74 x_{3} & +  1.20 x_{30} & +  4.32 x_{5} & -0.89 x_{19} & +  5.27 x_{6} & -4.45 x_{8} & -0.68 x_{29} & +  4.80 x_{10} & -14.47 x_{11} & +  0.80 x_{18} & +  1.05 x_{24} & -0.57 x_{21} & -16.36 x_{15} & +  1.26 x_{16}\\
 x_{23}   &  65.1089135019 & +  3.13 x_{1} & -1.11 x_{2} & + 10.49 x_{3} & +  0.66 x_{30} & + 10.45 x_{5} & +  0.08 x_{19} & +  3.42 x_{6} & -20.12 x_{8} & -0.42 x_{29} & -4.79 x_{10} & -13.77 x_{11} & -0.11 x_{18} & -0.13 x_{24} & -0.83 x_{21} & -5.92 x_{15} & + 13.61 x_{16}\\
 x_{13}   &  1.09193844309 & -0.51 x_{1} & -0.67 x_{2} & -0.27 x_{3} & -0.08 x_{30} & -0.47 x_{5} & +  0.05 x_{19} & -0.44 x_{6} & -0.04 x_{8} & +  0.00 x_{29} & +  0.82 x_{10} & +  0.72 x_{11} & -0.07 x_{18} & +  0.03 x_{24} & +  0.05 x_{21} & +  0.30 x_{15} & +  0.79 x_{16}\\
 x_{25}   &  45.0719240281 & -25.10 x_{1} & -8.53 x_{2} & -13.35 x_{3} & -1.13 x_{30} & +  0.04 x_{5} & +  0.52 x_{19} & -26.02 x_{6} & -13.42 x_{8} & -1.10 x_{29} & + 24.44 x_{10} & + 11.05 x_{11} & -0.83 x_{18} & +  0.80 x_{24} & +  0.85 x_{21} & +  2.00 x_{15} & + 15.76 x_{16}\\
 x_{26}   &  27.153669294 & + 15.02 x_{1} & +  0.78 x_{2} & +  3.86 x_{3} & +  1.24 x_{30} & + 11.58 x_{5} & -1.80 x_{19} & + 15.37 x_{6} & +  4.56 x_{8} & +  0.32 x_{29} & -23.05 x_{10} & -14.12 x_{11} & +  1.02 x_{18} & -0.56 x_{24} & -0.25 x_{21} & -6.96 x_{15} & -15.28 x_{16}\\
 x_{27}   &  17.355996969 & +  0.22 x_{1} & -8.85 x_{2} & + 11.13 x_{3} & -0.67 x_{30} & -5.95 x_{5} & +  2.36 x_{19} & -23.43 x_{6} & -5.05 x_{8} & +  0.10 x_{29} & +  9.02 x_{10} & +  9.20 x_{11} & -1.02 x_{18} & +  0.18 x_{24} & +  0.35 x_{21} & + 22.15 x_{15} & + 22.39 x_{16}\\
 x_{28}   &  54.7520718047 & -9.49 x_{1} & +  6.07 x_{2} & -14.96 x_{3} & -0.64 x_{30} & +  3.90 x_{5} & +  0.11 x_{19} & -9.66 x_{6} & -6.88 x_{8} & -0.89 x_{29} & +  8.90 x_{10} & -5.93 x_{11} & -0.19 x_{18} & +  0.59 x_{24} & +  0.20 x_{21} & +  5.66 x_{15} & -0.85 x_{16}\\
 x_{9}   &  0.576817992989 & +  0.12 x_{1} & +  0.13 x_{2} & +  0.26 x_{3} & -0.04 x_{30} & +  0.03 x_{5} & +  0.05 x_{19} & +  0.01 x_{6} & +  0.10 x_{8} & +  0.05 x_{29} & -0.07 x_{10} & +  0.04 x_{11} & -0.00 x_{18} & -0.03 x_{24} & -0.02 x_{21} & +  0.90 x_{15} & -0.37 x_{16}\\
 x_{4}   &  0.317858368777 & +  0.76 x_{1} & -0.34 x_{2} & +  1.04 x_{3} & +  0.07 x_{30} & -0.35 x_{5} & +  0.02 x_{19} & +  0.54 x_{6} & -0.42 x_{8} & +  0.03 x_{29} & -0.55 x_{10} & -0.05 x_{11} & -0.01 x_{18} & -0.03 x_{24} & -0.04 x_{21} & +  0.16 x_{15} & +  0.20 x_{16}\\
 x_{31}   &  17.8874901579 & -10.54 x_{1} & -2.72 x_{2} & -11.88 x_{3} & -0.64 x_{30} & -11.29 x_{5} & -0.08 x_{19} & + 10.73 x_{6} & -16.60 x_{8} & -0.57 x_{29} & + 18.49 x_{10} & -1.14 x_{11} & -1.13 x_{18} & -0.08 x_{24} & +  0.18 x_{21} & -2.84 x_{15} & + 11.14 x_{16}\\
 x_{32}   &  59.1003866505 & -0.23 x_{1} & +  8.80 x_{2} & -0.64 x_{3} & +  0.62 x_{30} & + 10.99 x_{5} & -1.98 x_{19} & +  2.76 x_{6} & + 21.70 x_{8} & -0.18 x_{29} & -17.28 x_{10} & -12.32 x_{11} & +  1.12 x_{18} & +  0.02 x_{24} & +  0.32 x_{21} & -24.39 x_{15} & -19.64 x_{16}\\
\hline
z    &  -4.54122930624 & +  1.02 x_{1} & +  2.82 x_{2} & +  4.54 x_{3} & +  0.09 x_{30} & +  3.56 x_{5} & -0.76 x_{19} & + 14.76 x_{6} & + 12.73 x_{8} & +  0.42 x_{29} & -5.24 x_{10} & -6.18 x_{11} & +  0.38 x_{18} & -0.34 x_{24} & +  0.23 x_{21} & +  0.74 x_{15} & -15.47 x_{16}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  21.1737706799 & +  8.63 x_{1} & -6.11 x_{2} & + 30.76 x_{3} & +  0.72 x_{30} & -3.29 x_{5} & -0.65 x_{19} & + 19.26 x_{6} & -4.27 x_{8} & +  0.92 x_{29} & -19.31 x_{10} & +  4.59 x_{11} & +  0.12 x_{18} & -1.11 x_{24} & +  0.23 x_{21} & -2.69 x_{15} & -16.95 x_{16}\\
 x_{14}   &  0.113505381557 & +  0.20 x_{1} & -0.51 x_{2} & +  0.61 x_{3} & +  0.01 x_{30} & -0.40 x_{5} & +  0.03 x_{19} & -0.15 x_{6} & +  0.15 x_{8} & +  0.02 x_{29} & -0.24 x_{10} & +  0.58 x_{11} & +  0.02 x_{18} & -0.03 x_{24} & +  0.05 x_{21} & +  0.30 x_{15} & -0.04 x_{16}\\
 x_{7}   &  0.2410408384 & +  0.77 x_{1} & +  0.40 x_{2} & +  0.47 x_{3} & +  0.06 x_{30} & +  0.35 x_{5} & -0.11 x_{19} & +  1.02 x_{6} & +  1.28 x_{8} & +  0.04 x_{29} & -0.96 x_{10} & -0.40 x_{11} & +  0.09 x_{18} & +  0.00 x_{24} & +  0.01 x_{21} & -0.95 x_{15} & -1.48 x_{16}\\
 x_{20}   &  46.9790020734 & -4.72 x_{1} & + 15.95 x_{2} & -24.98 x_{3} & -0.75 x_{30} & +  0.17 x_{5} & +  1.40 x_{19} & -36.39 x_{6} & -18.22 x_{8} & -1.03 x_{29} & + 14.77 x_{10} & +  2.87 x_{11} & -0.12 x_{18} & +  0.71 x_{24} & -0.43 x_{21} & + 15.92 x_{15} & + 21.59 x_{16}\\
 x_{12}   &  1.38999982421 & -0.03 x_{1} & +  0.27 x_{2} & -1.22 x_{3} & -0.00 x_{30} & +  0.04 x_{5} & +  0.09 x_{19} & -1.73 x_{6} & -0.38 x_{8} & -0.06 x_{29} & +  0.54 x_{10} & +  0.08 x_{11} & +  0.00 x_{18} & +  0.08 x_{24} & -0.01 x_{21} & +  0.34 x_{15} & +  1.44 x_{16}\\
 x_{22}   &  13.7937012697 & +  0.92 x_{1} & + 12.40 x_{2} & -12.74 x_{3} & +  1.20 x_{30} & +  4.32 x_{5} & -0.89 x_{19} & +  5.27 x_{6} & -4.45 x_{8} & -0.68 x_{29} & +  4.80 x_{10} & -14.47 x_{11} & +  0.80 x_{18} & +  1.05 x_{24} & -0.57 x_{21} & -16.36 x_{15} & +  1.26 x_{16}\\
 x_{23}   &  65.1089135019 & +  3.13 x_{1} & -1.11 x_{2} & + 10.49 x_{3} & +  0.66 x_{30} & + 10.45 x_{5} & +  0.08 x_{19} & +  3.42 x_{6} & -20.12 x_{8} & -0.42 x_{29} & -4.79 x_{10} & -13.77 x_{11} & -0.11 x_{18} & -0.13 x_{24} & -0.83 x_{21} & -5.92 x_{15} & + 13.61 x_{16}\\
 x_{13}   &  1.09193844309 & -0.51 x_{1} & -0.67 x_{2} & -0.27 x_{3} & -0.08 x_{30} & -0.47 x_{5} & +  0.05 x_{19} & -0.44 x_{6} & -0.04 x_{8} & +  0.00 x_{29} & +  0.82 x_{10} & +  0.72 x_{11} & -0.07 x_{18} & +  0.03 x_{24} & +  0.05 x_{21} & +  0.30 x_{15} & +  0.79 x_{16}\\
 x_{25}   &  45.0719240281 & -25.10 x_{1} & -8.53 x_{2} & -13.35 x_{3} & -1.13 x_{30} & +  0.04 x_{5} & +  0.52 x_{19} & -26.02 x_{6} & -13.42 x_{8} & -1.10 x_{29} & + 24.44 x_{10} & + 11.05 x_{11} & -0.83 x_{18} & +  0.80 x_{24} & +  0.85 x_{21} & +  2.00 x_{15} & + 15.76 x_{16}\\
 x_{26}   &  27.153669294 & + 15.02 x_{1} & +  0.78 x_{2} & +  3.86 x_{3} & +  1.24 x_{30} & + 11.58 x_{5} & -1.80 x_{19} & + 15.37 x_{6} & +  4.56 x_{8} & +  0.32 x_{29} & -23.05 x_{10} & -14.12 x_{11} & +  1.02 x_{18} & -0.56 x_{24} & -0.25 x_{21} & -6.96 x_{15} & -15.28 x_{16}\\
 x_{27}   &  17.355996969 & +  0.22 x_{1} & -8.85 x_{2} & + 11.13 x_{3} & -0.67 x_{30} & -5.95 x_{5} & +  2.36 x_{19} & -23.43 x_{6} & -5.05 x_{8} & +  0.10 x_{29} & +  9.02 x_{10} & +  9.20 x_{11} & -1.02 x_{18} & +  0.18 x_{24} & +  0.35 x_{21} & + 22.15 x_{15} & + 22.39 x_{16}\\
 x_{28}   &  54.7520718047 & -9.49 x_{1} & +  6.07 x_{2} & -14.96 x_{3} & -0.64 x_{30} & +  3.90 x_{5} & +  0.11 x_{19} & -9.66 x_{6} & -6.88 x_{8} & -0.89 x_{29} & +  8.90 x_{10} & -5.93 x_{11} & -0.19 x_{18} & +  0.59 x_{24} & +  0.20 x_{21} & +  5.66 x_{15} & -0.85 x_{16}\\
 x_{9}   &  0.576817992989 & +  0.12 x_{1} & +  0.13 x_{2} & +  0.26 x_{3} & -0.04 x_{30} & +  0.03 x_{5} & +  0.05 x_{19} & +  0.01 x_{6} & +  0.10 x_{8} & +  0.05 x_{29} & -0.07 x_{10} & +  0.04 x_{11} & -0.00 x_{18} & -0.03 x_{24} & -0.02 x_{21} & +  0.90 x_{15} & -0.37 x_{16}\\
 x_{4}   &  0.317858368777 & +  0.76 x_{1} & -0.34 x_{2} & +  1.04 x_{3} & +  0.07 x_{30} & -0.35 x_{5} & +  0.02 x_{19} & +  0.54 x_{6} & -0.42 x_{8} & +  0.03 x_{29} & -0.55 x_{10} & -0.05 x_{11} & -0.01 x_{18} & -0.03 x_{24} & -0.04 x_{21} & +  0.16 x_{15} & +  0.20 x_{16}\\
 x_{31}   &  17.8874901579 & -10.54 x_{1} & -2.72 x_{2} & -11.88 x_{3} & -0.64 x_{30} & -11.29 x_{5} & -0.08 x_{19} & + 10.73 x_{6} & -16.60 x_{8} & -0.57 x_{29} & + 18.49 x_{10} & -1.14 x_{11} & -1.13 x_{18} & -0.08 x_{24} & +  0.18 x_{21} & -2.84 x_{15} & + 11.14 x_{16}\\
 x_{32}   &  59.1003866505 & -0.23 x_{1} & +  8.80 x_{2} & -0.64 x_{3} & +  0.62 x_{30} & + 10.99 x_{5} & -1.98 x_{19} & +  2.76 x_{6} & + 21.70 x_{8} & -0.18 x_{29} & -17.28 x_{10} & -12.32 x_{11} & +  1.12 x_{18} & +  0.02 x_{24} & +  0.32 x_{21} & -24.39 x_{15} & -19.64 x_{16}\\
\hline
z    &  -4.54122930624 & +  1.02 x_{1} & +  2.82 x_{2} & +  4.54 x_{3} & +  0.09 x_{30} & +  3.56 x_{5} & -0.76 x_{19} & + 14.76 x_{6} & + 12.73 x_{8} & +  0.42 x_{29} & -5.24 x_{10} & -6.18 x_{11} & +  0.38 x_{18} & -0.34 x_{24} & +  0.23 x_{21} & +  0.74 x_{15} & -15.47 x_{16}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{31} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  35.8287046063 & -0.82 x_{31} & -8.34 x_{2} & + 21.03 x_{3} & +  0.19 x_{30} & -12.54 x_{5} & -0.72 x_{19} & + 28.05 x_{6} & -17.87 x_{8} & +  0.46 x_{29} & -4.17 x_{10} & +  3.65 x_{11} & -0.81 x_{18} & -1.17 x_{24} & +  0.37 x_{21} & -5.02 x_{15} & -7.82 x_{16}\\
 x_{14}   &  0.448422532779 & -0.02 x_{31} & -0.56 x_{2} & +  0.39 x_{3} & +  0.00 x_{30} & -0.61 x_{5} & +  0.03 x_{19} & +  0.05 x_{6} & -0.16 x_{8} & +  0.01 x_{29} & +  0.11 x_{10} & +  0.56 x_{11} & -0.00 x_{18} & -0.03 x_{24} & +  0.05 x_{21} & +  0.25 x_{15} & +  0.17 x_{16}\\
 x_{7}   &  1.55270990334 & -0.07 x_{31} & +  0.20 x_{2} & -0.40 x_{3} & +  0.02 x_{30} & -0.47 x_{5} & -0.11 x_{19} & +  1.80 x_{6} & +  0.06 x_{8} & -0.00 x_{29} & +  0.39 x_{10} & -0.48 x_{11} & +  0.00 x_{18} & -0.00 x_{24} & +  0.03 x_{21} & -1.16 x_{15} & -0.66 x_{16}\\
 x_{20}   &  38.9682149673 & +  0.45 x_{31} & + 17.17 x_{2} & -19.66 x_{3} & -0.46 x_{30} & +  5.23 x_{5} & +  1.44 x_{19} & -41.20 x_{6} & -10.78 x_{8} & -0.78 x_{29} & +  6.49 x_{10} & +  3.38 x_{11} & +  0.39 x_{18} & +  0.74 x_{24} & -0.51 x_{21} & + 17.19 x_{15} & + 16.60 x_{16}\\
 x_{12}   &  1.33638076017 & +  0.00 x_{31} & +  0.28 x_{2} & -1.18 x_{3} & +  0.00 x_{30} & +  0.08 x_{5} & +  0.09 x_{19} & -1.76 x_{6} & -0.33 x_{8} & -0.06 x_{29} & +  0.49 x_{10} & +  0.08 x_{11} & +  0.01 x_{18} & +  0.08 x_{24} & -0.02 x_{21} & +  0.35 x_{15} & +  1.41 x_{16}\\
 x_{22}   &  15.362434034 & -0.09 x_{31} & + 12.16 x_{2} & -13.78 x_{3} & +  1.15 x_{30} & +  3.33 x_{5} & -0.90 x_{19} & +  6.21 x_{6} & -5.91 x_{8} & -0.73 x_{29} & +  6.42 x_{10} & -14.57 x_{11} & +  0.70 x_{18} & +  1.05 x_{24} & -0.56 x_{21} & -16.61 x_{15} & +  2.24 x_{16}\\
 x_{23}   &  70.4175636157 & -0.30 x_{31} & -1.92 x_{2} & +  6.97 x_{3} & +  0.47 x_{30} & +  7.10 x_{5} & +  0.06 x_{19} & +  6.61 x_{6} & -25.04 x_{8} & -0.59 x_{29} & +  0.70 x_{10} & -14.11 x_{11} & -0.45 x_{18} & -0.16 x_{24} & -0.78 x_{21} & -6.77 x_{15} & + 16.92 x_{16}\\
 x_{13}   &  0.228003678475 & +  0.05 x_{31} & -0.54 x_{2} & +  0.30 x_{3} & -0.05 x_{30} & +  0.08 x_{5} & +  0.06 x_{19} & -0.96 x_{6} & +  0.76 x_{8} & +  0.03 x_{29} & -0.08 x_{10} & +  0.77 x_{11} & -0.01 x_{18} & +  0.03 x_{24} & +  0.05 x_{21} & +  0.44 x_{15} & +  0.26 x_{16}\\
 x_{25}   &  2.46898601336 & +  2.38 x_{31} & -2.04 x_{2} & + 14.95 x_{3} & +  0.40 x_{30} & + 26.94 x_{5} & +  0.72 x_{19} & -51.58 x_{6} & + 26.11 x_{8} & +  0.25 x_{29} & -19.59 x_{10} & + 13.76 x_{11} & +  1.85 x_{18} & +  0.99 x_{24} & +  0.43 x_{21} & +  8.77 x_{15} & -10.78 x_{16}\\
 x_{26}   &  52.6488609155 & -1.43 x_{31} & -3.11 x_{2} & -13.07 x_{3} & +  0.33 x_{30} & -4.52 x_{5} & -1.92 x_{19} & + 30.67 x_{6} & -19.10 x_{8} & -0.50 x_{29} & +  3.30 x_{10} & -15.74 x_{11} & -0.58 x_{18} & -0.67 x_{24} & +  0.01 x_{21} & -11.00 x_{15} & +  0.61 x_{16}\\
 x_{27}   &  17.7268562073 & -0.02 x_{31} & -8.91 x_{2} & + 10.88 x_{3} & -0.69 x_{30} & -6.19 x_{5} & +  2.36 x_{19} & -23.21 x_{6} & -5.40 x_{8} & +  0.09 x_{29} & +  9.40 x_{10} & +  9.18 x_{11} & -1.05 x_{18} & +  0.17 x_{24} & +  0.35 x_{21} & + 22.09 x_{15} & + 22.62 x_{16}\\
 x_{28}   &  38.6412277597 & +  0.90 x_{31} & +  8.52 x_{2} & -4.26 x_{3} & -0.07 x_{30} & + 14.07 x_{5} & +  0.19 x_{19} & -19.33 x_{6} & +  8.07 x_{8} & -0.37 x_{29} & -7.75 x_{10} & -4.91 x_{11} & +  0.82 x_{18} & +  0.66 x_{24} & +  0.04 x_{21} & +  8.22 x_{15} & -10.88 x_{16}\\
 x_{9}   &  0.785198550331 & -0.01 x_{31} & +  0.10 x_{2} & +  0.12 x_{3} & -0.05 x_{30} & -0.10 x_{5} & +  0.04 x_{19} & +  0.14 x_{6} & -0.09 x_{8} & +  0.04 x_{29} & +  0.14 x_{10} & +  0.03 x_{11} & -0.01 x_{18} & -0.04 x_{24} & -0.01 x_{21} & +  0.87 x_{15} & -0.24 x_{16}\\
 x_{4}   &  1.60746968856 & -0.07 x_{31} & -0.54 x_{2} & +  0.19 x_{3} & +  0.03 x_{30} & -1.16 x_{5} & +  0.01 x_{19} & +  1.31 x_{6} & -1.61 x_{8} & -0.01 x_{29} & +  0.78 x_{10} & -0.13 x_{11} & -0.09 x_{18} & -0.03 x_{24} & -0.03 x_{21} & -0.05 x_{15} & +  1.00 x_{16}\\
 x_{1}   &  1.6973745454 & -0.09 x_{31} & -0.26 x_{2} & -1.13 x_{3} & -0.06 x_{30} & -1.07 x_{5} & -0.01 x_{19} & +  1.02 x_{6} & -1.58 x_{8} & -0.05 x_{29} & +  1.75 x_{10} & -0.11 x_{11} & -0.11 x_{18} & -0.01 x_{24} & +  0.02 x_{21} & -0.27 x_{15} & +  1.06 x_{16}\\
 x_{32}   &  58.7092340668 & +  0.02 x_{31} & +  8.86 x_{2} & -0.38 x_{3} & +  0.64 x_{30} & + 11.23 x_{5} & -1.98 x_{19} & +  2.52 x_{6} & + 22.06 x_{8} & -0.17 x_{29} & -17.69 x_{10} & -12.29 x_{11} & +  1.14 x_{18} & +  0.03 x_{24} & +  0.32 x_{21} & -24.33 x_{15} & -19.88 x_{16}\\
\hline
z    &  -2.81337626673 & -0.10 x_{31} & +  2.56 x_{2} & +  3.40 x_{3} & +  0.03 x_{30} & +  2.47 x_{5} & -0.77 x_{19} & + 15.80 x_{6} & + 11.13 x_{8} & +  0.36 x_{29} & -3.45 x_{10} & -6.29 x_{11} & +  0.27 x_{18} & -0.34 x_{24} & +  0.25 x_{21} & +  0.47 x_{15} & -14.39 x_{16}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  32.3035803877 & -1.57 x_{31} & + 15.46 x_{13} & + 16.40 x_{3} & +  0.91 x_{30} & -13.72 x_{5} & -1.62 x_{19} & + 42.91 x_{6} & -29.66 x_{8} & +  0.03 x_{29} & -2.96 x_{10} & -8.30 x_{11} & -0.62 x_{18} & -1.66 x_{24} & -0.33 x_{21} & -11.76 x_{15} & -11.76 x_{16}\\
 x_{14}   &  0.212066776863 & -0.07 x_{31} & +  1.04 x_{13} & +  0.08 x_{3} & +  0.05 x_{30} & -0.69 x_{5} & -0.03 x_{19} & +  1.05 x_{6} & -0.96 x_{8} & -0.02 x_{29} & +  0.19 x_{10} & -0.25 x_{11} & +  0.01 x_{18} & -0.07 x_{24} & +  0.01 x_{21} & -0.21 x_{15} & -0.10 x_{16}\\
 x_{7}   &  1.63708288472 & -0.06 x_{31} & -0.37 x_{13} & -0.29 x_{3} & +  0.00 x_{30} & -0.45 x_{5} & -0.09 x_{19} & +  1.45 x_{6} & +  0.35 x_{8} & +  0.01 x_{29} & +  0.37 x_{10} & -0.19 x_{11} & -0.00 x_{18} & +  0.01 x_{24} & +  0.04 x_{21} & -1.00 x_{15} & -0.56 x_{16}\\
 x_{20}   &  46.2279584487 & +  1.99 x_{31} & -31.84 x_{13} & -10.13 x_{3} & -1.94 x_{30} & +  7.66 x_{5} & +  3.29 x_{19} & -71.81 x_{6} & + 13.50 x_{8} & +  0.11 x_{29} & +  4.01 x_{10} & + 28.00 x_{11} & +  0.00 x_{18} & +  1.74 x_{24} & +  0.94 x_{21} & + 31.07 x_{15} & + 24.72 x_{16}\\
 x_{12}   &  1.45398346662 & +  0.03 x_{31} & -0.52 x_{13} & -1.03 x_{3} & -0.02 x_{30} & +  0.12 x_{5} & +  0.12 x_{19} & -2.25 x_{6} & +  0.06 x_{8} & -0.05 x_{29} & +  0.45 x_{10} & +  0.48 x_{11} & +  0.00 x_{18} & +  0.10 x_{24} & +  0.01 x_{21} & +  0.57 x_{15} & +  1.54 x_{16}\\
 x_{22}   &  20.5041541822 & +  1.00 x_{31} & -22.55 x_{13} & -7.03 x_{3} & +  0.10 x_{30} & +  5.05 x_{5} & +  0.41 x_{19} & -15.47 x_{6} & + 11.29 x_{8} & -0.10 x_{29} & +  4.67 x_{10} & +  2.86 x_{11} & +  0.43 x_{18} & +  1.75 x_{24} & +  0.46 x_{21} & -6.78 x_{15} & +  7.99 x_{16}\\
 x_{23}   &  69.6067996307 & -0.47 x_{31} & +  3.56 x_{13} & +  5.90 x_{3} & +  0.64 x_{30} & +  6.83 x_{5} & -0.15 x_{19} & + 10.03 x_{6} & -27.76 x_{8} & -0.69 x_{29} & +  0.97 x_{10} & -16.86 x_{11} & -0.40 x_{18} & -0.27 x_{24} & -0.94 x_{21} & -8.32 x_{15} & + 16.01 x_{16}\\
 x_{2}   &  0.422755473496 & +  0.09 x_{31} & -1.85 x_{13} & +  0.55 x_{3} & -0.09 x_{30} & +  0.14 x_{5} & +  0.11 x_{19} & -1.78 x_{6} & +  1.41 x_{8} & +  0.05 x_{29} & -0.14 x_{10} & +  1.43 x_{11} & -0.02 x_{18} & +  0.06 x_{24} & +  0.08 x_{21} & +  0.81 x_{15} & +  0.47 x_{16}\\
 x_{25}   &  1.60661918038 & +  2.20 x_{31} & +  3.78 x_{13} & + 13.81 x_{3} & +  0.57 x_{30} & + 26.65 x_{5} & +  0.50 x_{19} & -47.94 x_{6} & + 23.23 x_{8} & +  0.15 x_{29} & -19.30 x_{10} & + 10.84 x_{11} & +  1.90 x_{18} & +  0.87 x_{24} & +  0.26 x_{21} & +  7.12 x_{15} & -11.74 x_{16}\\
 x_{26}   &  51.3360681143 & -1.70 x_{31} & +  5.76 x_{13} & -14.80 x_{3} & +  0.60 x_{30} & -4.95 x_{5} & -2.26 x_{19} & + 36.20 x_{6} & -23.49 x_{8} & -0.66 x_{29} & +  3.75 x_{10} & -20.19 x_{11} & -0.51 x_{18} & -0.85 x_{24} & -0.26 x_{21} & -13.51 x_{15} & -0.86 x_{16}\\
 x_{27}   &  13.9617276898 & -0.82 x_{31} & + 16.51 x_{13} & +  5.94 x_{3} & +  0.08 x_{30} & -7.44 x_{5} & +  1.40 x_{19} & -7.33 x_{6} & -17.99 x_{8} & -0.37 x_{29} & + 10.69 x_{10} & -3.58 x_{11} & -0.85 x_{18} & -0.34 x_{24} & -0.40 x_{21} & + 14.89 x_{15} & + 18.41 x_{16}\\
 x_{28}   &  42.243820656 & +  1.66 x_{31} & -15.80 x_{13} & +  0.47 x_{3} & -0.80 x_{30} & + 15.28 x_{5} & +  1.10 x_{19} & -34.52 x_{6} & + 20.12 x_{8} & +  0.06 x_{29} & -8.98 x_{10} & +  7.31 x_{11} & +  0.63 x_{18} & +  1.16 x_{24} & +  0.76 x_{21} & + 15.10 x_{15} & -6.85 x_{16}\\
 x_{9}   &  0.825620229707 & -0.00 x_{31} & -0.18 x_{13} & +  0.17 x_{3} & -0.06 x_{30} & -0.09 x_{5} & +  0.05 x_{19} & -0.03 x_{6} & +  0.04 x_{8} & +  0.05 x_{29} & +  0.13 x_{10} & +  0.17 x_{11} & -0.02 x_{18} & -0.03 x_{24} & -0.01 x_{21} & +  0.94 x_{15} & -0.20 x_{16}\\
 x_{4}   &  1.37998981274 & -0.12 x_{31} & +  1.00 x_{13} & -0.11 x_{3} & +  0.07 x_{30} & -1.24 x_{5} & -0.05 x_{19} & +  2.27 x_{6} & -2.38 x_{8} & -0.04 x_{29} & +  0.86 x_{10} & -0.90 x_{11} & -0.08 x_{18} & -0.06 x_{24} & -0.07 x_{21} & -0.48 x_{15} & +  0.75 x_{16}\\
 x_{1}   &  1.58806185807 & -0.12 x_{31} & +  0.48 x_{13} & -1.27 x_{3} & -0.04 x_{30} & -1.11 x_{5} & -0.04 x_{19} & +  1.48 x_{6} & -1.94 x_{8} & -0.07 x_{29} & +  1.79 x_{10} & -0.48 x_{11} & -0.10 x_{18} & -0.02 x_{24} & -0.00 x_{21} & -0.48 x_{15} & +  0.94 x_{16}\\
 x_{32}   &  62.4534697897 & +  0.82 x_{31} & -16.42 x_{13} & +  4.53 x_{3} & -0.13 x_{30} & + 12.48 x_{5} & -1.02 x_{19} & -13.27 x_{6} & + 34.59 x_{8} & +  0.28 x_{29} & -18.96 x_{10} & +  0.40 x_{11} & +  0.95 x_{18} & +  0.54 x_{24} & +  1.06 x_{21} & -17.17 x_{15} & -15.69 x_{16}\\
\hline
z    &  -1.73244585759 & +  0.13 x_{31} & -4.74 x_{13} & +  4.82 x_{3} & -0.19 x_{30} & +  2.83 x_{5} & -0.49 x_{19} & + 11.24 x_{6} & + 14.75 x_{8} & +  0.49 x_{29} & -3.82 x_{10} & -2.63 x_{11} & +  0.21 x_{18} & -0.20 x_{24} & +  0.46 x_{21} & +  2.53 x_{15} & -13.19 x_{16}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  52.8038295998 & -3.09 x_{31} & + 21.65 x_{13} & -12.91 x_{1} & +  0.42 x_{30} & -28.03 x_{5} & -2.08 x_{19} & + 62.00 x_{6} & -54.72 x_{8} & -0.84 x_{29} & + 20.17 x_{10} & -14.48 x_{11} & -1.92 x_{18} & -1.95 x_{24} & -0.39 x_{21} & -17.93 x_{15} & +  0.31 x_{16}\\
 x_{14}   &  0.306067709247 & -0.08 x_{31} & +  1.07 x_{13} & -0.06 x_{1} & +  0.05 x_{30} & -0.76 x_{5} & -0.04 x_{19} & +  1.14 x_{6} & -1.07 x_{8} & -0.02 x_{29} & +  0.29 x_{10} & -0.27 x_{11} & +  0.01 x_{18} & -0.07 x_{24} & +  0.01 x_{21} & -0.23 x_{15} & -0.04 x_{16}\\
 x_{7}   &  1.27596884607 & -0.03 x_{31} & -0.48 x_{13} & +  0.23 x_{1} & +  0.01 x_{30} & -0.19 x_{5} & -0.08 x_{19} & +  1.11 x_{6} & +  0.79 x_{8} & +  0.02 x_{29} & -0.04 x_{10} & -0.08 x_{11} & +  0.02 x_{18} & +  0.01 x_{24} & +  0.04 x_{21} & -0.89 x_{15} & -0.78 x_{16}\\
 x_{20}   &  33.5621852639 & +  2.93 x_{31} & -35.66 x_{13} & +  7.98 x_{1} & -1.64 x_{30} & + 16.50 x_{5} & +  3.58 x_{19} & -83.61 x_{6} & + 28.98 x_{8} & +  0.64 x_{29} & -10.28 x_{10} & + 31.81 x_{11} & +  0.81 x_{18} & +  1.93 x_{24} & +  0.97 x_{21} & + 34.88 x_{15} & + 17.27 x_{16}\\
 x_{12}   &  0.166248833291 & +  0.12 x_{31} & -0.90 x_{13} & +  0.81 x_{1} & +  0.01 x_{30} & +  1.01 x_{5} & +  0.15 x_{19} & -3.45 x_{6} & +  1.63 x_{8} & +  0.01 x_{29} & -1.00 x_{10} & +  0.87 x_{11} & +  0.08 x_{18} & +  0.12 x_{24} & +  0.01 x_{21} & +  0.96 x_{15} & +  0.78 x_{16}\\
 x_{22}   &  11.7205367261 & +  1.65 x_{31} & -25.20 x_{13} & +  5.53 x_{1} & +  0.31 x_{30} & + 11.18 x_{5} & +  0.61 x_{19} & -23.65 x_{6} & + 22.03 x_{8} & +  0.27 x_{29} & -5.24 x_{10} & +  5.51 x_{11} & +  0.99 x_{18} & +  1.88 x_{24} & +  0.49 x_{21} & -4.14 x_{15} & +  2.82 x_{16}\\
 x_{23}   &  76.981817907 & -1.02 x_{31} & +  5.78 x_{13} & -4.64 x_{1} & +  0.46 x_{30} & +  1.68 x_{5} & -0.32 x_{19} & + 16.90 x_{6} & -36.77 x_{8} & -1.00 x_{29} & +  9.29 x_{10} & -19.08 x_{11} & -0.87 x_{18} & -0.37 x_{24} & -0.96 x_{21} & -10.54 x_{15} & + 20.35 x_{16}\\
 x_{2}   &  1.11625563563 & +  0.04 x_{31} & -1.64 x_{13} & -0.44 x_{1} & -0.10 x_{30} & -0.34 x_{5} & +  0.09 x_{19} & -1.14 x_{6} & +  0.57 x_{8} & +  0.02 x_{29} & +  0.64 x_{10} & +  1.22 x_{11} & -0.07 x_{18} & +  0.05 x_{24} & +  0.08 x_{21} & +  0.60 x_{15} & +  0.88 x_{16}\\
 x_{25}   &  18.8694638145 & +  0.92 x_{31} & +  8.99 x_{13} & -10.87 x_{1} & +  0.15 x_{30} & + 14.60 x_{5} & +  0.11 x_{19} & -31.86 x_{6} & +  2.13 x_{8} & -0.58 x_{29} & +  0.18 x_{10} & +  5.63 x_{11} & +  0.80 x_{18} & +  0.63 x_{24} & +  0.20 x_{21} & +  1.92 x_{15} & -1.58 x_{16}\\
 x_{26}   &  32.8431806647 & -0.33 x_{31} & +  0.17 x_{13} & + 11.64 x_{1} & +  1.05 x_{30} & +  7.95 x_{5} & -1.84 x_{19} & + 18.98 x_{6} & -0.89 x_{8} & +  0.13 x_{29} & -17.11 x_{10} & -14.62 x_{11} & +  0.66 x_{18} & -0.59 x_{24} & -0.20 x_{21} & -7.94 x_{15} & -11.75 x_{16}\\
 x_{27}   &  21.3818096058 & -1.37 x_{31} & + 18.75 x_{13} & -4.67 x_{1} & -0.10 x_{30} & -12.62 x_{5} & +  1.23 x_{19} & -0.42 x_{6} & -27.06 x_{8} & -0.68 x_{29} & + 19.06 x_{10} & -5.82 x_{11} & -1.32 x_{18} & -0.45 x_{24} & -0.42 x_{21} & + 12.66 x_{15} & + 22.78 x_{16}\\
 x_{28}   &  42.8277781777 & +  1.62 x_{31} & -15.62 x_{13} & -0.37 x_{1} & -0.81 x_{30} & + 14.87 x_{5} & +  1.09 x_{19} & -33.98 x_{6} & + 19.41 x_{8} & +  0.04 x_{29} & -8.32 x_{10} & +  7.13 x_{11} & +  0.60 x_{18} & +  1.15 x_{24} & +  0.76 x_{21} & + 14.93 x_{15} & -6.51 x_{16}\\
 x_{9}   &  1.04198514452 & -0.02 x_{31} & -0.11 x_{13} & -0.14 x_{1} & -0.06 x_{30} & -0.24 x_{5} & +  0.05 x_{19} & +  0.17 x_{6} & -0.22 x_{8} & +  0.04 x_{29} & +  0.37 x_{10} & +  0.10 x_{11} & -0.03 x_{18} & -0.03 x_{24} & -0.01 x_{21} & +  0.88 x_{15} & -0.07 x_{16}\\
 x_{4}   &  1.24191771044 & -0.11 x_{31} & +  0.96 x_{13} & +  0.09 x_{1} & +  0.08 x_{30} & -1.14 x_{5} & -0.04 x_{19} & +  2.14 x_{6} & -2.21 x_{8} & -0.03 x_{29} & +  0.71 x_{10} & -0.86 x_{11} & -0.07 x_{18} & -0.06 x_{24} & -0.07 x_{21} & -0.44 x_{15} & +  0.67 x_{16}\\
 x_{3}   &  1.2497095236 & -0.09 x_{31} & +  0.38 x_{13} & -0.79 x_{1} & -0.03 x_{30} & -0.87 x_{5} & -0.03 x_{19} & +  1.16 x_{6} & -1.53 x_{8} & -0.05 x_{29} & +  1.41 x_{10} & -0.38 x_{11} & -0.08 x_{18} & -0.02 x_{24} & -0.00 x_{21} & -0.38 x_{15} & +  0.74 x_{16}\\
 x_{32}   &  68.1196111985 & +  0.39 x_{31} & -14.71 x_{13} & -3.57 x_{1} & -0.26 x_{30} & +  8.53 x_{5} & -1.15 x_{19} & -7.99 x_{6} & + 27.66 x_{8} & +  0.04 x_{29} & -12.57 x_{10} & -1.31 x_{11} & +  0.59 x_{18} & +  0.46 x_{24} & +  1.05 x_{21} & -18.88 x_{15} & -12.36 x_{16}\\
\hline
z    &  4.28589923166 & -0.31 x_{31} & -2.92 x_{13} & -3.79 x_{1} & -0.34 x_{30} & -1.37 x_{5} & -0.63 x_{19} & + 16.84 x_{6} & +  7.39 x_{8} & +  0.24 x_{29} & +  2.97 x_{10} & -4.44 x_{11} & -0.17 x_{18} & -0.28 x_{24} & +  0.44 x_{21} & +  0.72 x_{15} & -9.64 x_{16}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  55.7882131351 & -0.87 x_{31} & +  5.41 x_{13} & +  1.65 x_{1} & +  0.57 x_{30} & -9.81 x_{5} & +  0.62 x_{19} & -17.95 x_{12} & -25.38 x_{8} & -0.69 x_{29} & +  2.14 x_{10} & +  1.09 x_{11} & -0.45 x_{18} & +  0.16 x_{24} & -0.17 x_{21} & -0.71 x_{15} & + 14.28 x_{16}\\
 x_{14}   &  0.360727283733 & -0.04 x_{31} & +  0.77 x_{13} & +  0.21 x_{1} & +  0.05 x_{30} & -0.42 x_{5} & +  0.01 x_{19} & -0.33 x_{12} & -0.53 x_{8} & -0.02 x_{29} & -0.04 x_{10} & +  0.01 x_{11} & +  0.03 x_{18} & -0.03 x_{24} & +  0.01 x_{21} & +  0.08 x_{15} & +  0.21 x_{16}\\
 x_{7}   &  1.32944573975 & +  0.01 x_{31} & -0.77 x_{13} & +  0.49 x_{1} & +  0.01 x_{30} & +  0.13 x_{5} & -0.04 x_{19} & -0.32 x_{12} & +  1.31 x_{8} & +  0.03 x_{29} & -0.37 x_{10} & +  0.19 x_{11} & +  0.05 x_{18} & +  0.05 x_{24} & +  0.05 x_{21} & -0.58 x_{15} & -0.53 x_{16}\\
 x_{20}   &  29.5379642696 & -0.07 x_{31} & -13.77 x_{13} & -11.65 x_{1} & -1.84 x_{30} & -8.07 x_{5} & -0.07 x_{19} & + 24.21 x_{12} & -10.58 x_{8} & +  0.44 x_{29} & + 14.03 x_{10} & + 10.82 x_{11} & -1.18 x_{18} & -0.92 x_{24} & +  0.68 x_{21} & + 11.67 x_{15} & -1.58 x_{16}\\
 x_{6}   &  0.0481323736149 & +  0.04 x_{31} & -0.26 x_{13} & +  0.23 x_{1} & +  0.00 x_{30} & +  0.29 x_{5} & +  0.04 x_{19} & -0.29 x_{12} & +  0.47 x_{8} & +  0.00 x_{29} & -0.29 x_{10} & +  0.25 x_{11} & +  0.02 x_{18} & +  0.03 x_{24} & +  0.00 x_{21} & +  0.28 x_{15} & +  0.23 x_{16}\\
 x_{22}   &  10.5821262181 & +  0.81 x_{31} & -19.01 x_{13} & -0.02 x_{1} & +  0.25 x_{30} & +  4.23 x_{5} & -0.42 x_{19} & +  6.85 x_{12} & + 10.84 x_{8} & +  0.21 x_{29} & +  1.63 x_{10} & -0.43 x_{11} & +  0.43 x_{18} & +  1.08 x_{24} & +  0.41 x_{21} & -10.70 x_{15} & -2.52 x_{16}\\
 x_{23}   &  77.7950755928 & -0.41 x_{31} & +  1.36 x_{13} & -0.68 x_{1} & +  0.50 x_{30} & +  6.64 x_{5} & +  0.42 x_{19} & -4.89 x_{12} & -28.78 x_{8} & -0.96 x_{29} & +  4.38 x_{10} & -14.84 x_{11} & -0.47 x_{18} & +  0.20 x_{24} & -0.90 x_{21} & -5.85 x_{15} & + 24.16 x_{16}\\
 x_{2}   &  1.06154218297 & -0.00 x_{31} & -1.35 x_{13} & -0.70 x_{1} & -0.11 x_{30} & -0.68 x_{5} & +  0.04 x_{19} & +  0.33 x_{12} & +  0.03 x_{8} & +  0.02 x_{29} & +  0.97 x_{10} & +  0.94 x_{11} & -0.09 x_{18} & +  0.01 x_{24} & +  0.08 x_{21} & +  0.28 x_{15} & +  0.62 x_{16}\\
 x_{25}   &  17.3358648385 & -0.22 x_{31} & + 17.34 x_{13} & -18.35 x_{1} & +  0.08 x_{30} & +  5.24 x_{5} & -1.27 x_{19} & +  9.22 x_{12} & -12.95 x_{8} & -0.66 x_{29} & +  9.44 x_{10} & -2.37 x_{11} & +  0.05 x_{18} & -0.46 x_{24} & +  0.09 x_{21} & -6.93 x_{15} & -8.76 x_{16}\\
 x_{26}   &  33.7566265732 & +  0.35 x_{31} & -4.80 x_{13} & + 16.10 x_{1} & +  1.09 x_{30} & + 13.53 x_{5} & -1.01 x_{19} & -5.49 x_{12} & +  8.09 x_{8} & +  0.18 x_{29} & -22.63 x_{10} & -9.85 x_{11} & +  1.11 x_{18} & +  0.06 x_{24} & -0.13 x_{21} & -2.67 x_{15} & -7.47 x_{16}\\
 x_{27}   &  21.3614448027 & -1.39 x_{31} & + 18.86 x_{13} & -4.77 x_{1} & -0.10 x_{30} & -12.75 x_{5} & +  1.21 x_{19} & +  0.12 x_{12} & -27.26 x_{8} & -0.69 x_{29} & + 19.18 x_{10} & -5.93 x_{11} & -1.33 x_{18} & -0.46 x_{24} & -0.42 x_{21} & + 12.54 x_{15} & + 22.68 x_{16}\\
 x_{28}   &  41.1924473058 & +  0.40 x_{31} & -6.73 x_{13} & -8.34 x_{1} & -0.90 x_{30} & +  4.89 x_{5} & -0.39 x_{19} & +  9.84 x_{12} & +  3.33 x_{8} & -0.04 x_{29} & +  1.56 x_{10} & -1.40 x_{11} & -0.21 x_{18} & -0.00 x_{24} & +  0.64 x_{21} & +  5.49 x_{15} & -14.17 x_{16}\\
 x_{9}   &  1.05004607907 & -0.01 x_{31} & -0.16 x_{13} & -0.10 x_{1} & -0.06 x_{30} & -0.19 x_{5} & +  0.06 x_{19} & -0.05 x_{12} & -0.14 x_{8} & +  0.04 x_{29} & +  0.32 x_{10} & +  0.14 x_{11} & -0.03 x_{18} & -0.03 x_{24} & -0.01 x_{21} & +  0.93 x_{15} & -0.03 x_{16}\\
 x_{4}   &  1.34496767938 & -0.03 x_{31} & +  0.40 x_{13} & +  0.59 x_{1} & +  0.08 x_{30} & -0.51 x_{5} & +  0.05 x_{19} & -0.62 x_{12} & -1.19 x_{8} & -0.02 x_{29} & +  0.08 x_{10} & -0.32 x_{11} & -0.02 x_{18} & +  0.01 x_{24} & -0.06 x_{21} & +  0.15 x_{15} & +  1.15 x_{16}\\
 x_{3}   &  1.30573304584 & -0.05 x_{31} & +  0.07 x_{13} & -0.51 x_{1} & -0.03 x_{30} & -0.53 x_{5} & +  0.02 x_{19} & -0.34 x_{12} & -0.98 x_{8} & -0.05 x_{29} & +  1.07 x_{10} & -0.08 x_{11} & -0.05 x_{18} & +  0.02 x_{24} & +  0.00 x_{21} & -0.05 x_{15} & +  1.00 x_{16}\\
 x_{32}   &  67.7351262976 & +  0.11 x_{31} & -12.62 x_{13} & -5.44 x_{1} & -0.28 x_{30} & +  6.18 x_{5} & -1.50 x_{19} & +  2.31 x_{12} & + 23.88 x_{8} & +  0.02 x_{29} & -10.25 x_{10} & -3.31 x_{11} & +  0.40 x_{18} & +  0.19 x_{24} & +  1.02 x_{21} & -21.10 x_{15} & -14.16 x_{16}\\
\hline
z    &  5.0966341512 & +  0.29 x_{31} & -7.34 x_{13} & +  0.16 x_{1} & -0.30 x_{30} & +  3.58 x_{5} & +  0.10 x_{19} & -4.88 x_{12} & + 15.36 x_{8} & +  0.28 x_{29} & -1.93 x_{10} & -0.21 x_{11} & +  0.23 x_{18} & +  0.29 x_{24} & +  0.50 x_{21} & +  5.40 x_{15} & -5.85 x_{16}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  57.3445759562 & -0.89 x_{31} & +  6.97 x_{13} & -0.09 x_{25} & +  0.58 x_{30} & -9.34 x_{5} & +  0.50 x_{19} & -17.12 x_{12} & -26.54 x_{8} & -0.75 x_{29} & +  2.99 x_{10} & +  0.88 x_{11} & -0.45 x_{18} & +  0.12 x_{24} & -0.16 x_{21} & -1.34 x_{15} & + 13.50 x_{16}\\
 x_{14}   &  0.556670088515 & -0.04 x_{31} & +  0.96 x_{13} & -0.01 x_{25} & +  0.05 x_{30} & -0.36 x_{5} & -0.00 x_{19} & -0.22 x_{12} & -0.68 x_{8} & -0.03 x_{29} & +  0.07 x_{10} & -0.02 x_{11} & +  0.03 x_{18} & -0.03 x_{24} & +  0.01 x_{21} & +  0.00 x_{15} & +  0.11 x_{16}\\
 x_{7}   &  1.79067726679 & +  0.01 x_{31} & -0.31 x_{13} & -0.03 x_{25} & +  0.01 x_{30} & +  0.27 x_{5} & -0.07 x_{19} & -0.08 x_{12} & +  0.97 x_{8} & +  0.01 x_{29} & -0.11 x_{10} & +  0.13 x_{11} & +  0.05 x_{18} & +  0.04 x_{24} & +  0.05 x_{21} & -0.76 x_{15} & -0.76 x_{16}\\
 x_{20}   &  18.5296432772 & +  0.08 x_{31} & -24.78 x_{13} & +  0.64 x_{25} & -1.89 x_{30} & -11.40 x_{5} & +  0.74 x_{19} & + 18.35 x_{12} & -2.36 x_{8} & +  0.86 x_{29} & +  8.04 x_{10} & + 12.32 x_{11} & -1.21 x_{18} & -0.63 x_{24} & +  0.62 x_{21} & + 16.07 x_{15} & +  3.98 x_{16}\\
 x_{6}   &  0.269918127403 & +  0.03 x_{31} & -0.04 x_{13} & -0.01 x_{25} & +  0.00 x_{30} & +  0.36 x_{5} & +  0.03 x_{19} & -0.17 x_{12} & +  0.31 x_{8} & -0.01 x_{29} & -0.17 x_{10} & +  0.22 x_{11} & +  0.02 x_{18} & +  0.03 x_{24} & +  0.00 x_{21} & +  0.19 x_{15} & +  0.11 x_{16}\\
 x_{22}   &  10.5617141807 & +  0.81 x_{31} & -19.03 x_{13} & +  0.00 x_{25} & +  0.25 x_{30} & +  4.23 x_{5} & -0.42 x_{19} & +  6.84 x_{12} & + 10.85 x_{8} & +  0.21 x_{29} & +  1.62 x_{10} & -0.43 x_{11} & +  0.43 x_{18} & +  1.08 x_{24} & +  0.41 x_{21} & -10.70 x_{15} & -2.51 x_{16}\\
 x_{23}   &  77.1551849733 & -0.40 x_{31} & +  0.72 x_{13} & +  0.04 x_{25} & +  0.50 x_{30} & +  6.45 x_{5} & +  0.47 x_{19} & -5.23 x_{12} & -28.30 x_{8} & -0.93 x_{29} & +  4.03 x_{10} & -14.75 x_{11} & -0.47 x_{18} & +  0.22 x_{24} & -0.91 x_{21} & -5.59 x_{15} & + 24.48 x_{16}\\
 x_{2}   &  0.396883297297 & +  0.01 x_{31} & -2.01 x_{13} & +  0.04 x_{25} & -0.11 x_{30} & -0.88 x_{5} & +  0.09 x_{19} & -0.02 x_{12} & +  0.53 x_{8} & +  0.04 x_{29} & +  0.61 x_{10} & +  1.03 x_{11} & -0.10 x_{18} & +  0.03 x_{24} & +  0.07 x_{21} & +  0.55 x_{15} & +  0.96 x_{16}\\
 x_{1}   &  0.944704561055 & -0.01 x_{31} & +  0.94 x_{13} & -0.05 x_{25} & +  0.00 x_{30} & +  0.29 x_{5} & -0.07 x_{19} & +  0.50 x_{12} & -0.71 x_{8} & -0.04 x_{29} & +  0.51 x_{10} & -0.13 x_{11} & +  0.00 x_{18} & -0.02 x_{24} & +  0.00 x_{21} & -0.38 x_{15} & -0.48 x_{16}\\
 x_{26}   &  48.9666586065 & +  0.15 x_{31} & + 10.42 x_{13} & -0.88 x_{25} & +  1.16 x_{30} & + 18.13 x_{5} & -2.13 x_{19} & +  2.60 x_{12} & -3.27 x_{8} & -0.40 x_{29} & -14.35 x_{10} & -11.93 x_{11} & +  1.15 x_{18} & -0.35 x_{24} & -0.05 x_{21} & -8.75 x_{15} & -15.16 x_{16}\\
 x_{27}   &  16.8535567754 & -1.33 x_{31} & + 14.36 x_{13} & +  0.26 x_{25} & -0.12 x_{30} & -14.11 x_{5} & +  1.54 x_{19} & -2.28 x_{12} & -23.89 x_{8} & -0.51 x_{29} & + 16.73 x_{10} & -5.31 x_{11} & -1.34 x_{18} & -0.35 x_{24} & -0.45 x_{21} & + 14.34 x_{15} & + 24.96 x_{16}\\
 x_{28}   &  33.3097380243 & +  0.51 x_{31} & -14.61 x_{13} & +  0.45 x_{25} & -0.93 x_{30} & +  2.50 x_{5} & +  0.19 x_{19} & +  5.64 x_{12} & +  9.22 x_{8} & +  0.26 x_{29} & -2.74 x_{10} & -0.32 x_{11} & -0.23 x_{18} & +  0.20 x_{24} & +  0.60 x_{21} & +  8.64 x_{15} & -10.18 x_{16}\\
 x_{9}   &  0.958478556152 & -0.01 x_{31} & -0.25 x_{13} & +  0.01 x_{25} & -0.06 x_{30} & -0.22 x_{5} & +  0.06 x_{19} & -0.10 x_{12} & -0.08 x_{8} & +  0.04 x_{29} & +  0.28 x_{10} & +  0.16 x_{11} & -0.03 x_{18} & -0.02 x_{24} & -0.01 x_{21} & +  0.96 x_{15} & +  0.01 x_{16}\\
 x_{4}   &  1.90194051568 & -0.04 x_{31} & +  0.95 x_{13} & -0.03 x_{25} & +  0.08 x_{30} & -0.34 x_{5} & +  0.01 x_{19} & -0.32 x_{12} & -1.61 x_{8} & -0.05 x_{29} & +  0.39 x_{10} & -0.40 x_{11} & -0.02 x_{18} & -0.00 x_{24} & -0.06 x_{21} & -0.07 x_{15} & +  0.87 x_{16}\\
 x_{3}   &  0.820453982567 & -0.04 x_{31} & -0.41 x_{13} & +  0.03 x_{25} & -0.03 x_{30} & -0.68 x_{5} & +  0.06 x_{19} & -0.60 x_{12} & -0.61 x_{8} & -0.03 x_{29} & +  0.81 x_{10} & -0.02 x_{11} & -0.05 x_{18} & +  0.03 x_{24} & -0.00 x_{21} & +  0.14 x_{15} & +  1.24 x_{16}\\
 x_{32}   &  62.5928173494 & +  0.17 x_{31} & -17.76 x_{13} & +  0.30 x_{25} & -0.31 x_{30} & +  4.63 x_{5} & -1.12 x_{19} & -0.42 x_{12} & + 27.72 x_{8} & +  0.22 x_{29} & -13.05 x_{10} & -2.61 x_{11} & +  0.38 x_{18} & +  0.33 x_{24} & +  0.99 x_{21} & -19.04 x_{15} & -11.56 x_{16}\\
\hline
z    &  5.25217536845 & +  0.29 x_{31} & -7.18 x_{13} & -0.01 x_{25} & -0.30 x_{30} & +  3.63 x_{5} & +  0.09 x_{19} & -4.79 x_{12} & + 15.24 x_{8} & +  0.27 x_{29} & -1.84 x_{10} & -0.23 x_{11} & +  0.23 x_{18} & +  0.29 x_{24} & +  0.50 x_{21} & +  5.34 x_{15} & -5.92 x_{16}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  53.1202105763 & -0.95 x_{31} & + 28.38 x_{13} & -0.50 x_{25} & +  1.73 x_{30} & + 10.64 x_{2} & -0.47 x_{19} & -16.86 x_{12} & -32.13 x_{8} & -1.22 x_{29} & -3.47 x_{10} & -10.08 x_{11} & +  0.57 x_{18} & -0.17 x_{24} & -0.96 x_{21} & -7.18 x_{15} & +  3.27 x_{16}\\
 x_{14}   &  0.391906588698 & -0.04 x_{31} & +  1.80 x_{13} & -0.03 x_{25} & +  0.10 x_{30} & +  0.42 x_{2} & -0.04 x_{19} & -0.21 x_{12} & -0.90 x_{8} & -0.05 x_{29} & -0.18 x_{10} & -0.44 x_{11} & +  0.07 x_{18} & -0.05 x_{24} & -0.02 x_{21} & -0.22 x_{15} & -0.28 x_{16}\\
 x_{7}   &  1.91344454747 & +  0.01 x_{31} & -0.93 x_{13} & -0.01 x_{25} & -0.02 x_{30} & -0.31 x_{2} & -0.04 x_{19} & -0.08 x_{12} & +  1.13 x_{8} & +  0.02 x_{29} & +  0.07 x_{10} & +  0.45 x_{11} & +  0.02 x_{18} & +  0.05 x_{24} & +  0.07 x_{21} & -0.59 x_{15} & -0.46 x_{16}\\
 x_{20}   &  13.3765103845 & +  0.00 x_{31} & +  1.34 x_{13} & +  0.14 x_{25} & -0.48 x_{30} & + 12.98 x_{2} & -0.45 x_{19} & + 18.67 x_{12} & -9.17 x_{8} & +  0.28 x_{29} & +  0.16 x_{10} & -1.05 x_{11} & +  0.03 x_{18} & -0.98 x_{24} & -0.34 x_{21} & +  8.93 x_{15} & -8.49 x_{16}\\
 x_{6}   &  0.433101414169 & +  0.04 x_{31} & -0.87 x_{13} & +  0.00 x_{25} & -0.04 x_{30} & -0.41 x_{2} & +  0.06 x_{19} & -0.18 x_{12} & +  0.52 x_{8} & +  0.01 x_{29} & +  0.08 x_{10} & +  0.64 x_{11} & -0.01 x_{18} & +  0.04 x_{24} & +  0.04 x_{21} & +  0.41 x_{15} & +  0.51 x_{16}\\
 x_{22}   &  12.4730784593 & +  0.84 x_{31} & -28.72 x_{13} & +  0.19 x_{25} & -0.27 x_{30} & -4.82 x_{2} & +  0.02 x_{19} & +  6.72 x_{12} & + 13.38 x_{8} & +  0.43 x_{29} & +  4.54 x_{10} & +  4.53 x_{11} & -0.03 x_{18} & +  1.21 x_{24} & +  0.77 x_{21} & -8.05 x_{15} & +  2.12 x_{16}\\
 x_{23}   &  80.0712126025 & -0.36 x_{31} & -14.06 x_{13} & +  0.32 x_{25} & -0.30 x_{30} & -7.35 x_{2} & +  1.14 x_{19} & -5.41 x_{12} & -24.44 x_{8} & -0.61 x_{29} & +  8.49 x_{10} & -7.19 x_{11} & -1.17 x_{18} & +  0.42 x_{24} & -0.36 x_{21} & -1.56 x_{15} & + 31.54 x_{16}\\
 x_{5}   &  0.452200659074 & +  0.01 x_{31} & -2.29 x_{13} & +  0.04 x_{25} & -0.12 x_{30} & -1.14 x_{2} & +  0.10 x_{19} & -0.03 x_{12} & +  0.60 x_{8} & +  0.05 x_{29} & +  0.69 x_{10} & +  1.17 x_{11} & -0.11 x_{18} & +  0.03 x_{24} & +  0.08 x_{21} & +  0.63 x_{15} & +  1.09 x_{16}\\
 x_{1}   &  1.07394897673 & -0.01 x_{31} & +  0.29 x_{13} & -0.04 x_{25} & -0.03 x_{30} & -0.33 x_{2} & -0.04 x_{19} & +  0.49 x_{12} & -0.53 x_{8} & -0.02 x_{29} & +  0.71 x_{10} & +  0.21 x_{11} & -0.03 x_{18} & -0.02 x_{24} & +  0.03 x_{21} & -0.20 x_{15} & -0.16 x_{16}\\
 x_{26}   &  57.1641431773 & +  0.28 x_{31} & -31.14 x_{13} & -0.09 x_{25} & -1.09 x_{30} & -20.65 x_{2} & -0.24 x_{19} & +  2.09 x_{12} & +  7.58 x_{8} & +  0.52 x_{29} & -1.82 x_{10} & +  9.33 x_{11} & -0.81 x_{18} & +  0.22 x_{24} & +  1.48 x_{21} & +  2.59 x_{15} & +  4.69 x_{16}\\
 x_{27}   &  10.4726539414 & -1.42 x_{31} & + 46.70 x_{13} & -0.36 x_{25} & +  1.63 x_{30} & + 16.08 x_{2} & +  0.07 x_{19} & -1.88 x_{12} & -32.34 x_{8} & -1.23 x_{29} & +  6.98 x_{10} & -21.86 x_{11} & +  0.19 x_{18} & -0.78 x_{24} & -1.64 x_{21} & +  5.51 x_{15} & +  9.51 x_{16}\\
 x_{28}   &  34.4420396473 & +  0.52 x_{31} & -20.35 x_{13} & +  0.56 x_{25} & -1.24 x_{30} & -2.85 x_{2} & +  0.45 x_{19} & +  5.57 x_{12} & + 10.72 x_{8} & +  0.38 x_{29} & -1.01 x_{10} & +  2.61 x_{11} & -0.50 x_{18} & +  0.28 x_{24} & +  0.81 x_{21} & + 10.21 x_{15} & -7.44 x_{16}\\
 x_{9}   &  0.860290327594 & -0.01 x_{31} & +  0.25 x_{13} & -0.00 x_{25} & -0.04 x_{30} & +  0.25 x_{2} & +  0.04 x_{19} & -0.09 x_{12} & -0.21 x_{8} & +  0.03 x_{29} & +  0.12 x_{10} & -0.10 x_{11} & -0.00 x_{18} & -0.03 x_{24} & -0.02 x_{21} & +  0.83 x_{15} & -0.23 x_{16}\\
 x_{4}   &  1.74728504346 & -0.04 x_{31} & +  1.74 x_{13} & -0.05 x_{25} & +  0.13 x_{30} & +  0.39 x_{2} & -0.03 x_{19} & -0.31 x_{12} & -1.81 x_{8} & -0.06 x_{29} & +  0.15 x_{10} & -0.80 x_{11} & +  0.02 x_{18} & -0.01 x_{24} & -0.09 x_{21} & -0.28 x_{15} & +  0.49 x_{16}\\
 x_{3}   &  0.514295579559 & -0.05 x_{31} & +  1.14 x_{13} & -0.00 x_{25} & +  0.05 x_{30} & +  0.77 x_{2} & -0.01 x_{19} & -0.58 x_{12} & -1.02 x_{8} & -0.07 x_{29} & +  0.34 x_{10} & -0.81 x_{11} & +  0.02 x_{18} & +  0.01 x_{24} & -0.06 x_{21} & -0.28 x_{15} & +  0.50 x_{16}\\
 x_{32}   &  64.6852596729 & +  0.21 x_{31} & -28.37 x_{13} & +  0.50 x_{25} & -0.88 x_{30} & -5.27 x_{2} & -0.64 x_{19} & -0.55 x_{12} & + 30.49 x_{8} & +  0.46 x_{29} & -9.85 x_{10} & +  2.82 x_{11} & -0.12 x_{18} & +  0.47 x_{24} & +  1.38 x_{21} & -16.15 x_{15} & -6.49 x_{16}\\
\hline
z    &  6.89306885196 & +  0.31 x_{31} & -15.50 x_{13} & +  0.15 x_{25} & -0.75 x_{30} & -4.13 x_{2} & +  0.47 x_{19} & -4.90 x_{12} & + 17.42 x_{8} & +  0.46 x_{29} & +  0.66 x_{10} & +  4.02 x_{11} & -0.16 x_{18} & +  0.40 x_{24} & +  0.81 x_{21} & +  7.61 x_{15} & -1.95 x_{16}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{27} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  42.7139803798 & +  0.46 x_{31} & -18.02 x_{13} & -0.14 x_{25} & +  0.12 x_{30} & -5.33 x_{2} & -0.54 x_{19} & -14.99 x_{12} & +  0.99 x_{27} & -0.00 x_{29} & -10.40 x_{10} & + 11.65 x_{11} & +  0.38 x_{18} & +  0.60 x_{24} & +  0.68 x_{21} & -12.66 x_{15} & -6.18 x_{16}\\
 x_{14}   &  0.101362264073 & -0.00 x_{31} & +  0.50 x_{13} & -0.02 x_{25} & +  0.05 x_{30} & -0.03 x_{2} & -0.04 x_{19} & -0.16 x_{12} & +  0.03 x_{27} & -0.01 x_{29} & -0.38 x_{10} & +  0.16 x_{11} & +  0.07 x_{18} & -0.02 x_{24} & +  0.03 x_{21} & -0.38 x_{15} & -0.55 x_{16}\\
 x_{7}   &  2.27973887556 & -0.04 x_{31} & +  0.70 x_{13} & -0.03 x_{25} & +  0.04 x_{30} & +  0.25 x_{2} & -0.04 x_{19} & -0.15 x_{12} & -0.03 x_{27} & -0.02 x_{29} & +  0.32 x_{10} & -0.32 x_{11} & +  0.03 x_{18} & +  0.02 x_{24} & +  0.02 x_{21} & -0.40 x_{15} & -0.13 x_{16}\\
 x_{20}   &  10.4054965107 & +  0.40 x_{31} & -11.91 x_{13} & +  0.24 x_{25} & -0.94 x_{30} & +  8.42 x_{2} & -0.47 x_{19} & + 19.20 x_{12} & +  0.28 x_{27} & +  0.63 x_{29} & -1.82 x_{10} & +  5.16 x_{11} & -0.02 x_{18} & -0.76 x_{24} & +  0.12 x_{21} & +  7.37 x_{15} & -11.19 x_{16}\\
 x_{6}   &  0.602623859892 & +  0.01 x_{31} & -0.11 x_{13} & -0.00 x_{25} & -0.01 x_{30} & -0.15 x_{2} & +  0.07 x_{19} & -0.21 x_{12} & -0.02 x_{27} & -0.01 x_{29} & +  0.19 x_{10} & +  0.29 x_{11} & -0.01 x_{18} & +  0.03 x_{24} & +  0.01 x_{21} & +  0.50 x_{15} & +  0.66 x_{16}\\
 x_{22}   &  16.8074335702 & +  0.25 x_{31} & -9.39 x_{13} & +  0.04 x_{25} & +  0.40 x_{30} & +  1.84 x_{2} & +  0.05 x_{19} & +  5.94 x_{12} & -0.41 x_{27} & -0.08 x_{29} & +  7.43 x_{10} & -4.52 x_{11} & +  0.05 x_{18} & +  0.88 x_{24} & +  0.09 x_{21} & -5.77 x_{15} & +  6.06 x_{16}\\
 x_{23}   &  72.1565125698 & +  0.71 x_{31} & -49.36 x_{13} & +  0.59 x_{25} & -1.53 x_{30} & -19.50 x_{2} & +  1.09 x_{19} & -3.99 x_{12} & +  0.76 x_{27} & +  0.32 x_{29} & +  3.22 x_{10} & +  9.34 x_{11} & -1.32 x_{18} & +  1.01 x_{24} & +  0.88 x_{21} & -5.72 x_{15} & + 24.35 x_{16}\\
 x_{5}   &  0.645985672369 & -0.02 x_{31} & -1.43 x_{13} & +  0.04 x_{25} & -0.09 x_{30} & -0.84 x_{2} & +  0.11 x_{19} & -0.06 x_{12} & -0.02 x_{27} & +  0.03 x_{29} & +  0.82 x_{10} & +  0.77 x_{11} & -0.10 x_{18} & +  0.02 x_{24} & +  0.05 x_{21} & +  0.73 x_{15} & +  1.27 x_{16}\\
 x_{1}   &  0.900848702148 & +  0.01 x_{31} & -0.48 x_{13} & -0.04 x_{25} & -0.06 x_{30} & -0.59 x_{2} & -0.04 x_{19} & +  0.53 x_{12} & +  0.02 x_{27} & -0.00 x_{29} & +  0.60 x_{10} & +  0.57 x_{11} & -0.03 x_{18} & -0.00 x_{24} & +  0.06 x_{21} & -0.29 x_{15} & -0.32 x_{16}\\
 x_{26}   &  59.6183239813 & -0.06 x_{31} & -20.19 x_{13} & -0.17 x_{25} & -0.70 x_{30} & -16.89 x_{2} & -0.22 x_{19} & +  1.65 x_{12} & -0.23 x_{27} & +  0.23 x_{29} & -0.18 x_{10} & +  4.21 x_{11} & -0.77 x_{18} & +  0.03 x_{24} & +  1.10 x_{21} & +  3.88 x_{15} & +  6.91 x_{16}\\
 x_{8}   &  0.323855494702 & -0.04 x_{31} & +  1.44 x_{13} & -0.01 x_{25} & +  0.05 x_{30} & +  0.50 x_{2} & +  0.00 x_{19} & -0.06 x_{12} & -0.03 x_{27} & -0.04 x_{29} & +  0.22 x_{10} & -0.68 x_{11} & +  0.01 x_{18} & -0.02 x_{24} & -0.05 x_{21} & +  0.17 x_{15} & +  0.29 x_{16}\\
 x_{28}   &  37.9134146063 & +  0.05 x_{31} & -4.87 x_{13} & +  0.45 x_{25} & -0.70 x_{30} & +  2.48 x_{2} & +  0.48 x_{19} & +  4.95 x_{12} & -0.33 x_{27} & -0.02 x_{29} & +  1.31 x_{10} & -4.63 x_{11} & -0.44 x_{18} & +  0.02 x_{24} & +  0.26 x_{21} & + 12.03 x_{15} & -4.29 x_{16}\\
 x_{9}   &  0.793422429876 & -0.00 x_{31} & -0.05 x_{13} & -0.00 x_{25} & -0.05 x_{30} & +  0.14 x_{2} & +  0.04 x_{19} & -0.08 x_{12} & +  0.01 x_{27} & +  0.04 x_{29} & +  0.08 x_{10} & +  0.04 x_{11} & -0.00 x_{18} & -0.03 x_{24} & -0.01 x_{21} & +  0.79 x_{15} & -0.29 x_{16}\\
 x_{4}   &  1.15984712832 & +  0.04 x_{31} & -0.88 x_{13} & -0.03 x_{25} & +  0.03 x_{30} & -0.51 x_{2} & -0.03 x_{19} & -0.21 x_{12} & +  0.06 x_{27} & +  0.01 x_{29} & -0.24 x_{10} & +  0.43 x_{11} & +  0.01 x_{18} & +  0.03 x_{24} & +  0.00 x_{21} & -0.59 x_{15} & -0.04 x_{16}\\
 x_{3}   &  0.184170825428 & -0.00 x_{31} & -0.33 x_{13} & +  0.01 x_{25} & +  0.00 x_{30} & +  0.26 x_{2} & -0.01 x_{19} & -0.52 x_{12} & +  0.03 x_{27} & -0.03 x_{29} & +  0.12 x_{10} & -0.12 x_{11} & +  0.01 x_{18} & +  0.04 x_{24} & -0.01 x_{21} & -0.46 x_{15} & +  0.20 x_{16}\\
 x_{32}   &  74.560676894 & -1.14 x_{31} & + 15.67 x_{13} & +  0.16 x_{25} & +  0.66 x_{30} & +  9.89 x_{2} & -0.57 x_{19} & -2.33 x_{12} & -0.94 x_{27} & -0.70 x_{29} & -3.27 x_{10} & -17.80 x_{11} & +  0.06 x_{18} & -0.27 x_{24} & -0.16 x_{21} & -10.95 x_{15} & +  2.48 x_{16}\\
\hline
z    &  12.5333945297 & -0.46 x_{31} & +  9.65 x_{13} & -0.04 x_{25} & +  0.13 x_{30} & +  4.52 x_{2} & +  0.51 x_{19} & -5.91 x_{12} & -0.54 x_{27} & -0.21 x_{29} & +  4.42 x_{10} & -7.75 x_{11} & -0.06 x_{18} & -0.02 x_{24} & -0.07 x_{21} & + 10.57 x_{15} & +  3.17 x_{16}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  38.6229011535 & +  0.58 x_{31} & -8.98 x_{13} & -0.38 x_{25} & +  0.71 x_{30} & +  6.33 x_{5} & -1.21 x_{19} & -14.59 x_{12} & +  1.11 x_{27} & -0.18 x_{29} & -15.60 x_{10} & +  6.78 x_{11} & +  1.04 x_{18} & +  0.50 x_{24} & +  0.33 x_{21} & -17.27 x_{15} & -14.23 x_{16}\\
 x_{14}   &  0.0776540914508 & +  0.00 x_{31} & +  0.56 x_{13} & -0.02 x_{25} & +  0.06 x_{30} & +  0.04 x_{5} & -0.05 x_{19} & -0.16 x_{12} & +  0.03 x_{27} & -0.01 x_{29} & -0.41 x_{10} & +  0.14 x_{11} & +  0.07 x_{18} & -0.02 x_{24} & +  0.02 x_{21} & -0.40 x_{15} & -0.59 x_{16}\\
 x_{7}   &  2.47387129746 & -0.05 x_{31} & +  0.27 x_{13} & -0.02 x_{25} & +  0.01 x_{30} & -0.30 x_{5} & -0.01 x_{19} & -0.17 x_{12} & -0.04 x_{27} & -0.01 x_{29} & +  0.56 x_{10} & -0.08 x_{11} & -0.00 x_{18} & +  0.03 x_{24} & +  0.03 x_{21} & -0.18 x_{15} & +  0.25 x_{16}\\
 x_{20}   &  16.8685007947 & +  0.21 x_{31} & -26.19 x_{13} & +  0.61 x_{25} & -1.88 x_{30} & -10.00 x_{5} & +  0.59 x_{19} & + 18.57 x_{12} & +  0.10 x_{27} & +  0.91 x_{29} & +  6.39 x_{10} & + 12.84 x_{11} & -1.08 x_{18} & -0.59 x_{24} & +  0.67 x_{21} & + 14.65 x_{15} & +  1.52 x_{16}\\
 x_{6}   &  0.486827038619 & +  0.02 x_{31} & +  0.14 x_{13} & -0.01 x_{25} & +  0.00 x_{30} & +  0.18 x_{5} & +  0.05 x_{19} & -0.20 x_{12} & -0.01 x_{27} & -0.01 x_{29} & +  0.05 x_{10} & +  0.15 x_{11} & +  0.01 x_{18} & +  0.02 x_{24} & -0.00 x_{21} & +  0.37 x_{15} & +  0.43 x_{16}\\
 x_{22}   &  18.2178510506 & +  0.21 x_{31} & -12.51 x_{13} & +  0.12 x_{25} & +  0.20 x_{30} & -2.18 x_{5} & +  0.28 x_{19} & +  5.80 x_{12} & -0.45 x_{27} & -0.02 x_{29} & +  9.22 x_{10} & -2.84 x_{11} & -0.18 x_{18} & +  0.92 x_{24} & +  0.20 x_{21} & -4.18 x_{15} & +  8.83 x_{16}\\
 x_{23}   &  57.1955584658 & +  1.17 x_{31} & -16.28 x_{13} & -0.27 x_{25} & +  0.64 x_{30} & + 23.16 x_{5} & -1.36 x_{19} & -2.54 x_{12} & +  1.18 x_{27} & -0.32 x_{29} & -15.78 x_{10} & -8.46 x_{11} & +  1.11 x_{18} & +  0.63 x_{24} & -0.38 x_{21} & -22.57 x_{15} & -5.08 x_{16}\\
 x_{2}   &  0.767311136588 & -0.02 x_{31} & -1.70 x_{13} & +  0.04 x_{25} & -0.11 x_{30} & -1.19 x_{5} & +  0.13 x_{19} & -0.07 x_{12} & -0.02 x_{27} & +  0.03 x_{29} & +  0.97 x_{10} & +  0.91 x_{11} & -0.12 x_{18} & +  0.02 x_{24} & +  0.06 x_{21} & +  0.86 x_{15} & +  1.51 x_{16}\\
 x_{1}   &  0.447068199178 & +  0.03 x_{31} & +  0.52 x_{13} & -0.06 x_{25} & +  0.01 x_{30} & +  0.70 x_{5} & -0.11 x_{19} & +  0.57 x_{12} & +  0.03 x_{27} & -0.02 x_{29} & +  0.02 x_{10} & +  0.03 x_{11} & +  0.04 x_{18} & -0.01 x_{24} & +  0.02 x_{21} & -0.80 x_{15} & -1.21 x_{16}\\
 x_{26}   &  46.6607332112 & +  0.33 x_{31} & +  8.45 x_{13} & -0.91 x_{25} & +  1.18 x_{30} & + 20.06 x_{5} & -2.34 x_{19} & +  2.91 x_{12} & +  0.14 x_{27} & -0.33 x_{29} & -16.64 x_{10} & -11.20 x_{11} & +  1.34 x_{18} & -0.30 x_{24} & +  0.01 x_{21} & -10.71 x_{15} & -18.57 x_{16}\\
 x_{8}   &  0.705347400391 & -0.06 x_{31} & +  0.60 x_{13} & +  0.01 x_{25} & -0.01 x_{30} & -0.59 x_{5} & +  0.06 x_{19} & -0.10 x_{12} & -0.04 x_{27} & -0.02 x_{29} & +  0.70 x_{10} & -0.22 x_{11} & -0.06 x_{18} & -0.01 x_{24} & -0.02 x_{21} & +  0.60 x_{15} & +  1.04 x_{16}\\
 x_{28}   &  39.8134622911 & -0.01 x_{31} & -9.07 x_{13} & +  0.56 x_{25} & -0.98 x_{30} & -2.94 x_{5} & +  0.79 x_{19} & +  4.76 x_{12} & -0.39 x_{27} & +  0.06 x_{29} & +  3.72 x_{10} & -2.37 x_{11} & -0.75 x_{18} & +  0.07 x_{24} & +  0.42 x_{21} & + 14.18 x_{15} & -0.55 x_{16}\\
 x_{9}   &  0.904485507076 & -0.01 x_{31} & -0.29 x_{13} & +  0.00 x_{25} & -0.06 x_{30} & -0.17 x_{5} & +  0.06 x_{19} & -0.09 x_{12} & +  0.00 x_{27} & +  0.05 x_{29} & +  0.22 x_{10} & +  0.17 x_{11} & -0.02 x_{18} & -0.02 x_{24} & -0.00 x_{21} & +  0.92 x_{15} & -0.07 x_{16}\\
 x_{4}   &  0.766865077673 & +  0.05 x_{31} & -0.01 x_{13} & -0.05 x_{25} & +  0.09 x_{30} & +  0.61 x_{5} & -0.09 x_{19} & -0.17 x_{12} & +  0.07 x_{27} & -0.01 x_{29} & -0.74 x_{10} & -0.04 x_{11} & +  0.07 x_{18} & +  0.02 x_{24} & -0.03 x_{21} & -1.03 x_{15} & -0.81 x_{16}\\
 x_{3}   &  0.38720281371 & -0.01 x_{31} & -0.78 x_{13} & +  0.02 x_{25} & -0.03 x_{30} & -0.31 x_{5} & +  0.02 x_{19} & -0.54 x_{12} & +  0.03 x_{27} & -0.02 x_{29} & +  0.38 x_{10} & +  0.12 x_{11} & -0.02 x_{18} & +  0.04 x_{24} & +  0.01 x_{21} & -0.23 x_{15} & +  0.60 x_{16}\\
 x_{32}   &  82.1482109333 & -1.36 x_{31} & -1.10 x_{13} & +  0.60 x_{25} & -0.45 x_{30} & -11.75 x_{5} & +  0.67 x_{19} & -3.06 x_{12} & -1.16 x_{27} & -0.38 x_{29} & +  6.36 x_{10} & -8.77 x_{11} & -1.17 x_{18} & -0.08 x_{24} & +  0.47 x_{21} & -2.40 x_{15} & + 17.40 x_{16}\\
\hline
z    &  16.0051180884 & -0.56 x_{31} & +  1.98 x_{13} & +  0.16 x_{25} & -0.37 x_{30} & -5.37 x_{5} & +  1.08 x_{19} & -6.25 x_{12} & -0.64 x_{27} & -0.06 x_{29} & +  8.83 x_{10} & -3.62 x_{11} & -0.63 x_{18} & +  0.07 x_{24} & +  0.22 x_{21} & + 14.49 x_{15} & + 10.00 x_{16}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  35.6432092008 & +  0.58 x_{31} & -30.30 x_{13} & +  0.34 x_{25} & -1.42 x_{30} & +  4.92 x_{5} & +  0.54 x_{19} & -8.46 x_{12} & +  0.02 x_{27} & +  0.34 x_{29} & + 38.37 x_{14} & +  1.58 x_{11} & -1.71 x_{18} & +  1.43 x_{24} & -0.58 x_{21} & -1.77 x_{15} & +  8.59 x_{16}\\
 x_{10}   &  0.19104973301 & +  0.00 x_{31} & +  1.37 x_{13} & -0.05 x_{25} & +  0.14 x_{30} & +  0.09 x_{5} & -0.11 x_{19} & -0.39 x_{12} & +  0.07 x_{27} & -0.03 x_{29} & -2.46 x_{14} & +  0.33 x_{11} & +  0.18 x_{18} & -0.06 x_{24} & +  0.06 x_{21} & -0.99 x_{15} & -1.46 x_{16}\\
 x_{7}   &  2.58166294947 & -0.05 x_{31} & +  1.04 x_{13} & -0.04 x_{25} & +  0.09 x_{30} & -0.25 x_{5} & -0.07 x_{19} & -0.39 x_{12} & -0.00 x_{27} & -0.03 x_{29} & -1.39 x_{14} & +  0.10 x_{11} & +  0.09 x_{18} & -0.01 x_{24} & +  0.07 x_{21} & -0.74 x_{15} & -0.57 x_{16}\\
 x_{20}   &  18.0889248347 & +  0.21 x_{31} & -17.46 x_{13} & +  0.32 x_{25} & -1.01 x_{30} & -9.43 x_{5} & -0.12 x_{19} & + 16.06 x_{12} & +  0.55 x_{27} & +  0.70 x_{29} & -15.72 x_{14} & + 14.97 x_{11} & +  0.05 x_{18} & -0.97 x_{24} & +  1.04 x_{21} & +  8.30 x_{15} & -7.82 x_{16}\\
 x_{6}   &  0.495490288412 & +  0.02 x_{31} & +  0.21 x_{13} & -0.01 x_{25} & +  0.01 x_{30} & +  0.18 x_{5} & +  0.04 x_{19} & -0.22 x_{12} & -0.01 x_{27} & -0.01 x_{29} & -0.11 x_{14} & +  0.17 x_{11} & +  0.02 x_{18} & +  0.02 x_{24} & +  0.00 x_{21} & +  0.33 x_{15} & +  0.37 x_{16}\\
 x_{22}   &  19.9800234455 & +  0.21 x_{31} & +  0.10 x_{13} & -0.30 x_{25} & +  1.46 x_{30} & -1.35 x_{5} & -0.75 x_{19} & +  2.18 x_{12} & +  0.19 x_{27} & -0.33 x_{29} & -22.69 x_{14} & +  0.23 x_{11} & +  1.44 x_{18} & +  0.37 x_{24} & +  0.74 x_{21} & -13.35 x_{15} & -4.66 x_{16}\\
 x_{23}   &  54.1809286482 & +  1.17 x_{31} & -37.85 x_{13} & +  0.45 x_{25} & -1.51 x_{30} & + 21.74 x_{5} & +  0.41 x_{19} & +  3.67 x_{12} & +  0.08 x_{27} & +  0.21 x_{29} & + 38.82 x_{14} & -13.72 x_{11} & -1.67 x_{18} & +  1.57 x_{24} & -1.30 x_{21} & -6.89 x_{15} & + 18.01 x_{16}\\
 x_{2}   &  0.953441082896 & -0.02 x_{31} & -0.36 x_{13} & -0.00 x_{25} & +  0.02 x_{30} & -1.10 x_{5} & +  0.02 x_{19} & -0.46 x_{12} & +  0.05 x_{27} & +  0.00 x_{29} & -2.40 x_{14} & +  1.24 x_{11} & +  0.05 x_{18} & -0.04 x_{24} & +  0.12 x_{21} & -0.10 x_{15} & +  0.08 x_{16}\\
 x_{1}   &  0.450998097024 & +  0.03 x_{31} & +  0.55 x_{13} & -0.06 x_{25} & +  0.01 x_{30} & +  0.70 x_{5} & -0.12 x_{19} & +  0.56 x_{12} & +  0.03 x_{27} & -0.02 x_{29} & -0.05 x_{14} & +  0.03 x_{11} & +  0.05 x_{18} & -0.02 x_{24} & +  0.02 x_{21} & -0.82 x_{15} & -1.24 x_{16}\\
 x_{26}   &  43.4824814001 & +  0.33 x_{31} & -14.29 x_{13} & -0.15 x_{25} & -1.09 x_{30} & + 18.56 x_{5} & -0.48 x_{19} & +  9.45 x_{12} & -1.03 x_{27} & +  0.23 x_{29} & + 40.93 x_{14} & -16.75 x_{11} & -1.60 x_{18} & +  0.69 x_{24} & -0.96 x_{21} & +  5.82 x_{15} & +  5.76 x_{16}\\
 x_{8}   &  0.839111795605 & -0.06 x_{31} & +  1.56 x_{13} & -0.02 x_{25} & +  0.09 x_{30} & -0.53 x_{5} & -0.01 x_{19} & -0.37 x_{12} & +  0.01 x_{27} & -0.05 x_{29} & -1.72 x_{14} & +  0.01 x_{11} & +  0.07 x_{18} & -0.06 x_{24} & +  0.02 x_{21} & -0.10 x_{15} & +  0.02 x_{16}\\
 x_{28}   &  40.5240107372 & -0.01 x_{31} & -3.99 x_{13} & +  0.38 x_{25} & -0.47 x_{30} & -2.61 x_{5} & +  0.37 x_{19} & +  3.30 x_{12} & -0.13 x_{27} & -0.07 x_{29} & -9.15 x_{14} & -1.13 x_{11} & -0.09 x_{18} & -0.15 x_{24} & +  0.64 x_{21} & + 10.48 x_{15} & -5.99 x_{16}\\
 x_{9}   &  0.946785947497 & -0.01 x_{31} & +  0.01 x_{13} & -0.01 x_{25} & -0.03 x_{30} & -0.15 x_{5} & +  0.03 x_{19} & -0.18 x_{12} & +  0.02 x_{27} & +  0.04 x_{29} & -0.54 x_{14} & +  0.25 x_{11} & +  0.02 x_{18} & -0.04 x_{24} & +  0.01 x_{21} & +  0.70 x_{15} & -0.39 x_{16}\\
 x_{4}   &  0.625497901844 & +  0.05 x_{31} & -1.03 x_{13} & -0.02 x_{25} & -0.01 x_{30} & +  0.54 x_{5} & -0.01 x_{19} & +  0.12 x_{12} & +  0.02 x_{27} & +  0.01 x_{29} & +  1.82 x_{14} & -0.28 x_{11} & -0.06 x_{18} & +  0.07 x_{24} & -0.07 x_{21} & -0.30 x_{15} & +  0.27 x_{16}\\
 x_{3}   &  0.459268382046 & -0.01 x_{31} & -0.27 x_{13} & +  0.00 x_{25} & +  0.02 x_{30} & -0.28 x_{5} & -0.02 x_{19} & -0.69 x_{12} & +  0.05 x_{27} & -0.03 x_{29} & -0.93 x_{14} & +  0.24 x_{11} & +  0.05 x_{18} & +  0.02 x_{24} & +  0.03 x_{21} & -0.60 x_{15} & +  0.05 x_{16}\\
 x_{32}   &  83.3636174897 & -1.36 x_{31} & +  7.59 x_{13} & +  0.31 x_{25} & +  0.42 x_{30} & -11.17 x_{5} & -0.04 x_{19} & -5.57 x_{12} & -0.72 x_{27} & -0.59 x_{29} & -15.65 x_{14} & -6.65 x_{11} & -0.05 x_{18} & -0.45 x_{24} & +  0.84 x_{21} & -8.73 x_{15} & +  8.10 x_{16}\\
\hline
z    &  17.6920680485 & -0.56 x_{31} & + 14.05 x_{13} & -0.25 x_{25} & +  0.83 x_{30} & -4.58 x_{5} & +  0.09 x_{19} & -9.72 x_{12} & -0.02 x_{27} & -0.35 x_{29} & -21.72 x_{14} & -0.68 x_{11} & +  0.93 x_{18} & -0.46 x_{24} & +  0.73 x_{21} & +  5.71 x_{15} & -2.92 x_{16}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  17.1706755586 & -0.86 x_{31} & + 29.53 x_{4} & +  0.80 x_{25} & -1.14 x_{30} & -11.07 x_{5} & +  0.86 x_{19} & -12.03 x_{12} & -0.44 x_{27} & -0.08 x_{29} & -15.39 x_{14} & +  9.99 x_{11} & +  0.10 x_{18} & -0.49 x_{24} & +  1.64 x_{21} & +  7.08 x_{15} & +  0.64 x_{16}\\
 x_{10}   &  1.02443728449 & +  0.06 x_{31} & -1.33 x_{4} & -0.07 x_{25} & +  0.12 x_{30} & +  0.81 x_{5} & -0.13 x_{19} & -0.23 x_{12} & +  0.09 x_{27} & -0.01 x_{29} & -0.03 x_{14} & -0.05 x_{11} & +  0.09 x_{18} & +  0.03 x_{24} & -0.04 x_{21} & -1.39 x_{15} & -1.10 x_{16}\\
 x_{7}   &  3.21844640078 & +  0.00 x_{31} & -1.02 x_{4} & -0.06 x_{25} & +  0.08 x_{30} & +  0.30 x_{5} & -0.08 x_{19} & -0.27 x_{12} & +  0.01 x_{27} & -0.02 x_{29} & +  0.47 x_{14} & -0.19 x_{11} & +  0.03 x_{18} & +  0.06 x_{24} & -0.01 x_{21} & -1.05 x_{15} & -0.30 x_{16}\\
 x_{20}   &  7.44164077779 & -0.62 x_{31} & + 17.02 x_{4} & +  0.58 x_{25} & -0.85 x_{30} & -18.65 x_{5} & +  0.06 x_{19} & + 14.01 x_{12} & +  0.28 x_{27} & +  0.45 x_{29} & -46.70 x_{14} & + 19.82 x_{11} & +  1.09 x_{18} & -2.08 x_{24} & +  2.32 x_{21} & + 13.40 x_{15} & -12.40 x_{16}\\
 x_{6}   &  0.621503841099 & +  0.03 x_{31} & -0.20 x_{4} & -0.01 x_{25} & +  0.01 x_{30} & +  0.29 x_{5} & +  0.04 x_{19} & -0.19 x_{12} & -0.01 x_{27} & -0.01 x_{29} & +  0.26 x_{14} & +  0.11 x_{11} & +  0.00 x_{18} & +  0.03 x_{24} & -0.01 x_{21} & +  0.27 x_{15} & +  0.42 x_{16}\\
 x_{22}   &  20.0405373742 & +  0.21 x_{31} & -0.10 x_{4} & -0.31 x_{25} & +  1.45 x_{30} & -1.30 x_{5} & -0.75 x_{19} & +  2.19 x_{12} & +  0.19 x_{27} & -0.33 x_{29} & -22.52 x_{14} & +  0.21 x_{11} & +  1.44 x_{18} & +  0.38 x_{24} & +  0.73 x_{21} & -13.38 x_{15} & -4.63 x_{16}\\
 x_{23}   &  31.1016614846 & -0.63 x_{31} & + 36.90 x_{4} & +  1.03 x_{25} & -1.16 x_{30} & +  1.75 x_{5} & +  0.81 x_{19} & -0.79 x_{12} & -0.49 x_{27} & -0.32 x_{29} & -28.35 x_{14} & -3.21 x_{11} & +  0.59 x_{18} & -0.83 x_{24} & +  1.47 x_{21} & +  4.16 x_{15} & +  8.08 x_{16}\\
 x_{2}   &  0.731064049126 & -0.04 x_{31} & +  0.36 x_{4} & +  0.00 x_{25} & +  0.02 x_{30} & -1.29 x_{5} & +  0.02 x_{19} & -0.50 x_{12} & +  0.04 x_{27} & -0.00 x_{29} & -3.04 x_{14} & +  1.34 x_{11} & +  0.07 x_{18} & -0.06 x_{24} & +  0.15 x_{21} & +  0.00 x_{15} & -0.01 x_{16}\\
 x_{1}   &  0.785778604174 & +  0.05 x_{31} & -0.54 x_{4} & -0.07 x_{25} & +  0.01 x_{30} & +  0.99 x_{5} & -0.12 x_{19} & +  0.63 x_{12} & +  0.04 x_{27} & -0.01 x_{29} & +  0.92 x_{14} & -0.12 x_{11} & +  0.01 x_{18} & +  0.02 x_{24} & -0.02 x_{21} & -0.98 x_{15} & -1.10 x_{16}\\
 x_{26}   &  34.7723292727 & -0.34 x_{31} & + 13.93 x_{4} & +  0.07 x_{25} & -0.96 x_{30} & + 11.02 x_{5} & -0.33 x_{19} & +  7.77 x_{12} & -1.24 x_{27} & +  0.03 x_{29} & + 15.58 x_{14} & -12.78 x_{11} & -0.75 x_{18} & -0.21 x_{24} & +  0.09 x_{21} & +  9.99 x_{15} & +  2.02 x_{16}\\
 x_{8}   &  1.78895096235 & +  0.02 x_{31} & -1.52 x_{4} & -0.05 x_{25} & +  0.08 x_{30} & +  0.29 x_{5} & -0.03 x_{19} & -0.19 x_{12} & +  0.03 x_{27} & -0.02 x_{29} & +  1.04 x_{14} & -0.42 x_{11} & -0.03 x_{18} & +  0.04 x_{24} & -0.09 x_{21} & -0.55 x_{15} & +  0.43 x_{16}\\
 x_{28}   &  38.0930117779 & -0.19 x_{31} & +  3.89 x_{4} & +  0.44 x_{25} & -0.44 x_{30} & -4.71 x_{5} & +  0.41 x_{19} & +  2.83 x_{12} & -0.19 x_{27} & -0.12 x_{29} & -16.23 x_{14} & -0.03 x_{11} & +  0.15 x_{18} & -0.40 x_{24} & +  0.93 x_{21} & + 11.64 x_{15} & -7.04 x_{16}\\
 x_{9}   &  0.952413131047 & -0.01 x_{31} & -0.01 x_{4} & -0.01 x_{25} & -0.03 x_{30} & -0.15 x_{5} & +  0.03 x_{19} & -0.18 x_{12} & +  0.02 x_{27} & +  0.04 x_{29} & -0.53 x_{14} & +  0.24 x_{11} & +  0.02 x_{18} & -0.04 x_{24} & +  0.01 x_{21} & +  0.69 x_{15} & -0.39 x_{16}\\
 x_{13}   &  0.609735588433 & +  0.05 x_{31} & -0.97 x_{4} & -0.02 x_{25} & -0.01 x_{30} & +  0.53 x_{5} & -0.01 x_{19} & +  0.12 x_{12} & +  0.02 x_{27} & +  0.01 x_{29} & +  1.77 x_{14} & -0.28 x_{11} & -0.06 x_{18} & +  0.06 x_{24} & -0.07 x_{21} & -0.29 x_{15} & +  0.26 x_{16}\\
 x_{3}   &  0.296861324848 & -0.02 x_{31} & +  0.26 x_{4} & +  0.01 x_{25} & +  0.03 x_{30} & -0.42 x_{5} & -0.02 x_{19} & -0.72 x_{12} & +  0.05 x_{27} & -0.03 x_{29} & -1.40 x_{14} & +  0.32 x_{11} & +  0.06 x_{18} & +  0.00 x_{24} & +  0.05 x_{21} & -0.53 x_{15} & -0.02 x_{16}\\
 x_{32}   &  87.9916905648 & -1.00 x_{31} & -7.40 x_{4} & +  0.19 x_{25} & +  0.35 x_{30} & -7.16 x_{5} & -0.12 x_{19} & -4.67 x_{12} & -0.60 x_{27} & -0.48 x_{29} & -2.18 x_{14} & -8.76 x_{11} & -0.50 x_{18} & +  0.03 x_{24} & +  0.29 x_{21} & -10.94 x_{15} & + 10.09 x_{16}\\
\hline
z    &  26.2579609206 & +  0.11 x_{31} & -13.69 x_{4} & -0.46 x_{25} & +  0.70 x_{30} & +  2.84 x_{5} & -0.06 x_{19} & -8.06 x_{12} & +  0.19 x_{27} & -0.16 x_{29} & +  3.21 x_{14} & -4.58 x_{11} & +  0.09 x_{18} & +  0.43 x_{24} & -0.29 x_{21} & +  1.61 x_{15} & +  0.77 x_{16}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  12.7534489712 & -0.49 x_{31} & + 19.43 x_{4} & +  0.45 x_{25} & -0.63 x_{30} & +  0.59 x_{20} & +  0.82 x_{19} & -20.34 x_{12} & -0.61 x_{27} & -0.34 x_{29} & + 12.33 x_{14} & -1.77 x_{11} & -0.55 x_{18} & +  0.74 x_{24} & +  0.26 x_{21} & -0.87 x_{15} & +  8.00 x_{16}\\
 x_{10}   &  1.34842955582 & +  0.04 x_{31} & -0.59 x_{4} & -0.04 x_{25} & +  0.09 x_{30} & -0.04 x_{20} & -0.12 x_{19} & +  0.38 x_{12} & +  0.10 x_{27} & +  0.01 x_{29} & -2.07 x_{14} & +  0.82 x_{11} & +  0.14 x_{18} & -0.06 x_{24} & +  0.06 x_{21} & -0.81 x_{15} & -1.64 x_{16}\\
 x_{7}   &  3.3388649499 & -0.01 x_{31} & -0.74 x_{4} & -0.05 x_{25} & +  0.06 x_{30} & -0.02 x_{20} & -0.08 x_{19} & -0.04 x_{12} & +  0.02 x_{27} & -0.01 x_{29} & -0.29 x_{14} & +  0.13 x_{11} & +  0.05 x_{18} & +  0.02 x_{24} & +  0.03 x_{21} & -0.83 x_{15} & -0.50 x_{16}\\
 x_{5}   &  0.399099322339 & -0.03 x_{31} & +  0.91 x_{4} & +  0.03 x_{25} & -0.05 x_{30} & -0.05 x_{20} & +  0.00 x_{19} & +  0.75 x_{12} & +  0.01 x_{27} & +  0.02 x_{29} & -2.50 x_{14} & +  1.06 x_{11} & +  0.06 x_{18} & -0.11 x_{24} & +  0.12 x_{21} & +  0.72 x_{15} & -0.67 x_{16}\\
 x_{6}   &  0.738219692384 & +  0.02 x_{31} & +  0.07 x_{4} & -0.01 x_{25} & -0.01 x_{30} & -0.02 x_{20} & +  0.04 x_{19} & +  0.03 x_{12} & -0.00 x_{27} & -0.00 x_{29} & -0.48 x_{14} & +  0.42 x_{11} & +  0.02 x_{18} & +  0.00 x_{24} & +  0.02 x_{21} & +  0.48 x_{15} & +  0.23 x_{16}\\
 x_{22}   &  19.5224541524 & +  0.25 x_{31} & -1.28 x_{4} & -0.35 x_{25} & +  1.51 x_{30} & +  0.07 x_{20} & -0.76 x_{19} & +  1.21 x_{12} & +  0.17 x_{27} & -0.36 x_{29} & -19.26 x_{14} & -1.17 x_{11} & +  1.36 x_{18} & +  0.52 x_{24} & +  0.57 x_{21} & -14.31 x_{15} & -3.77 x_{16}\\
 x_{23}   &  31.8016702595 & -0.69 x_{31} & + 38.50 x_{4} & +  1.09 x_{25} & -1.24 x_{30} & -0.09 x_{20} & +  0.81 x_{19} & +  0.53 x_{12} & -0.47 x_{27} & -0.28 x_{29} & -32.74 x_{14} & -1.35 x_{11} & +  0.69 x_{18} & -1.03 x_{24} & +  1.69 x_{21} & +  5.42 x_{15} & +  6.92 x_{16}\\
 x_{2}   &  0.215279459508 & +  0.00 x_{31} & -0.82 x_{4} & -0.04 x_{25} & +  0.08 x_{30} & +  0.07 x_{20} & +  0.02 x_{19} & -1.47 x_{12} & +  0.02 x_{27} & -0.04 x_{29} & +  0.19 x_{14} & -0.04 x_{11} & -0.01 x_{18} & +  0.08 x_{24} & -0.01 x_{21} & -0.93 x_{15} & +  0.85 x_{16}\\
 x_{1}   &  1.18254704128 & +  0.02 x_{31} & +  0.37 x_{4} & -0.04 x_{25} & -0.04 x_{30} & -0.05 x_{20} & -0.12 x_{19} & +  1.37 x_{12} & +  0.05 x_{27} & +  0.01 x_{29} & -1.57 x_{14} & +  0.94 x_{11} & +  0.07 x_{18} & -0.09 x_{24} & +  0.10 x_{21} & -0.27 x_{15} & -1.76 x_{16}\\
 x_{26}   &  39.168655127 & -0.71 x_{31} & + 23.98 x_{4} & +  0.41 x_{25} & -1.46 x_{30} & -0.59 x_{20} & -0.29 x_{19} & + 16.04 x_{12} & -1.08 x_{27} & +  0.30 x_{29} & -12.01 x_{14} & -1.07 x_{11} & -0.10 x_{18} & -1.44 x_{24} & +  1.45 x_{21} & + 17.91 x_{15} & -5.31 x_{16}\\
 x_{8}   &  1.90668366593 & +  0.01 x_{31} & -1.25 x_{4} & -0.04 x_{25} & +  0.06 x_{30} & -0.02 x_{20} & -0.03 x_{19} & +  0.03 x_{12} & +  0.04 x_{27} & -0.02 x_{29} & +  0.30 x_{14} & -0.11 x_{11} & -0.01 x_{18} & +  0.01 x_{24} & -0.06 x_{21} & -0.34 x_{15} & +  0.23 x_{16}\\
 x_{28}   &  36.2131890465 & -0.04 x_{31} & -0.41 x_{4} & +  0.30 x_{25} & -0.22 x_{30} & +  0.25 x_{20} & +  0.40 x_{19} & -0.71 x_{12} & -0.26 x_{27} & -0.24 x_{29} & -4.43 x_{14} & -5.03 x_{11} & -0.13 x_{18} & +  0.12 x_{24} & +  0.35 x_{21} & +  8.26 x_{15} & -3.90 x_{16}\\
 x_{9}   &  0.89371986664 & -0.00 x_{31} & -0.14 x_{4} & -0.01 x_{25} & -0.03 x_{30} & +  0.01 x_{20} & +  0.03 x_{19} & -0.29 x_{12} & +  0.02 x_{27} & +  0.04 x_{29} & -0.16 x_{14} & +  0.09 x_{11} & +  0.01 x_{18} & -0.02 x_{24} & -0.01 x_{21} & +  0.59 x_{15} & -0.29 x_{16}\\
 x_{13}   &  0.82041440197 & +  0.03 x_{31} & -0.49 x_{4} & +  0.00 x_{25} & -0.03 x_{30} & -0.03 x_{20} & -0.01 x_{19} & +  0.51 x_{12} & +  0.02 x_{27} & +  0.03 x_{29} & +  0.45 x_{14} & +  0.28 x_{11} & -0.03 x_{18} & +  0.00 x_{24} & -0.01 x_{21} & +  0.09 x_{15} & -0.09 x_{16}\\
 x_{3}   &  0.128902673878 & -0.01 x_{31} & -0.12 x_{4} & -0.01 x_{25} & +  0.05 x_{30} & +  0.02 x_{20} & -0.02 x_{19} & -1.03 x_{12} & +  0.04 x_{27} & -0.05 x_{29} & -0.35 x_{14} & -0.13 x_{11} & +  0.04 x_{18} & +  0.05 x_{24} & -0.00 x_{21} & -0.83 x_{15} & +  0.26 x_{16}\\
 x_{32}   &  85.132368457 & -0.77 x_{31} & -13.94 x_{4} & -0.03 x_{25} & +  0.68 x_{30} & +  0.38 x_{20} & -0.14 x_{19} & -10.05 x_{12} & -0.71 x_{27} & -0.66 x_{29} & + 15.76 x_{14} & -16.37 x_{11} & -0.92 x_{18} & +  0.83 x_{24} & -0.60 x_{21} & -16.09 x_{15} & + 14.85 x_{16}\\
\hline
z    &  27.3910043063 & +  0.01 x_{31} & -11.10 x_{4} & -0.37 x_{25} & +  0.57 x_{30} & -0.15 x_{20} & -0.05 x_{19} & -5.93 x_{12} & +  0.24 x_{27} & -0.09 x_{29} & -3.90 x_{14} & -1.56 x_{11} & +  0.26 x_{18} & +  0.12 x_{24} & +  0.06 x_{21} & +  3.65 x_{15} & -1.12 x_{16}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  12.6171765507 & -0.48 x_{31} & + 19.56 x_{4} & +  0.46 x_{25} & -0.68 x_{30} & +  0.57 x_{20} & +  0.84 x_{19} & -19.25 x_{12} & -0.65 x_{27} & -0.30 x_{29} & + 12.70 x_{14} & -1.63 x_{11} & -0.59 x_{18} & +  0.69 x_{24} & +  0.26 x_{21} & +  1.06 x_{3} & +  7.73 x_{16}\\
 x_{10}   &  1.22235141168 & +  0.05 x_{31} & -0.47 x_{4} & -0.04 x_{25} & +  0.04 x_{30} & -0.07 x_{20} & -0.10 x_{19} & +  1.39 x_{12} & +  0.06 x_{27} & +  0.05 x_{29} & -1.73 x_{14} & +  0.94 x_{11} & +  0.10 x_{18} & -0.11 x_{24} & +  0.06 x_{21} & +  0.98 x_{3} & -1.90 x_{16}\\
 x_{7}   &  3.2096462831 & +  0.00 x_{31} & -0.62 x_{4} & -0.04 x_{25} & +  0.02 x_{30} & -0.04 x_{20} & -0.06 x_{19} & +  0.99 x_{12} & -0.02 x_{27} & +  0.04 x_{29} & +  0.06 x_{14} & +  0.26 x_{11} & +  0.01 x_{18} & -0.03 x_{24} & +  0.03 x_{21} & +  1.00 x_{3} & -0.76 x_{16}\\
 x_{5}   &  0.511062662028 & -0.04 x_{31} & +  0.80 x_{4} & +  0.03 x_{25} & -0.01 x_{30} & -0.03 x_{20} & -0.02 x_{19} & -0.15 x_{12} & +  0.05 x_{27} & -0.01 x_{29} & -2.81 x_{14} & +  0.95 x_{11} & +  0.09 x_{18} & -0.07 x_{24} & +  0.12 x_{21} & -0.87 x_{3} & -0.44 x_{16}\\
 x_{6}   &  0.812738631826 & +  0.01 x_{31} & -0.01 x_{4} & -0.01 x_{25} & +  0.02 x_{30} & -0.00 x_{20} & +  0.03 x_{19} & -0.57 x_{12} & +  0.02 x_{27} & -0.03 x_{29} & -0.68 x_{14} & +  0.35 x_{11} & +  0.04 x_{18} & +  0.03 x_{24} & +  0.02 x_{21} & -0.58 x_{3} & +  0.38 x_{16}\\
 x_{22}   &  17.2934164866 & +  0.42 x_{31} & +  0.87 x_{4} & -0.26 x_{25} & +  0.71 x_{30} & -0.32 x_{20} & -0.37 x_{19} & + 19.07 x_{12} & -0.55 x_{27} & +  0.42 x_{29} & -13.27 x_{14} & +  1.06 x_{11} & +  0.69 x_{18} & -0.36 x_{24} & +  0.60 x_{21} & + 17.29 x_{3} & -8.27 x_{16}\\
 x_{23}   &  32.6462527267 & -0.75 x_{31} & + 37.68 x_{4} & +  1.05 x_{25} & -0.94 x_{30} & +  0.05 x_{20} & +  0.67 x_{19} & -6.24 x_{12} & -0.20 x_{27} & -0.57 x_{29} & -35.01 x_{14} & -2.20 x_{11} & +  0.95 x_{18} & -0.69 x_{24} & +  1.68 x_{21} & -6.55 x_{3} & +  8.62 x_{16}\\
 x_{2}   &  0.0709935976899 & +  0.01 x_{31} & -0.68 x_{4} & -0.03 x_{25} & +  0.03 x_{30} & +  0.04 x_{20} & +  0.04 x_{19} & -0.32 x_{12} & -0.03 x_{27} & +  0.01 x_{29} & +  0.58 x_{14} & +  0.11 x_{11} & -0.05 x_{18} & +  0.03 x_{24} & -0.01 x_{21} & +  1.12 x_{3} & +  0.56 x_{16}\\
 x_{1}   &  1.1409311491 & +  0.02 x_{31} & +  0.41 x_{4} & -0.04 x_{25} & -0.05 x_{30} & -0.06 x_{20} & -0.11 x_{19} & +  1.71 x_{12} & +  0.04 x_{27} & +  0.02 x_{29} & -1.45 x_{14} & +  0.98 x_{11} & +  0.06 x_{18} & -0.11 x_{24} & +  0.10 x_{21} & +  0.32 x_{3} & -1.85 x_{16}\\
 x_{26}   &  41.9582930491 & -0.92 x_{31} & + 21.29 x_{4} & +  0.30 x_{25} & -0.45 x_{30} & -0.10 x_{20} & -0.77 x_{19} & -6.30 x_{12} & -0.18 x_{27} & -0.68 x_{29} & -19.51 x_{14} & -3.87 x_{11} & +  0.74 x_{18} & -0.34 x_{24} & +  1.42 x_{21} & -21.64 x_{3} & +  0.32 x_{16}\\
 x_{8}   &  1.85395157013 & +  0.01 x_{31} & -1.20 x_{4} & -0.03 x_{25} & +  0.04 x_{30} & -0.03 x_{20} & -0.02 x_{19} & +  0.46 x_{12} & +  0.02 x_{27} & +  0.00 x_{29} & +  0.44 x_{14} & -0.05 x_{11} & -0.02 x_{18} & -0.01 x_{24} & -0.05 x_{21} & +  0.41 x_{3} & +  0.13 x_{16}\\
 x_{28}   &  37.4994606111 & -0.13 x_{31} & -1.66 x_{4} & +  0.25 x_{25} & +  0.24 x_{30} & +  0.48 x_{20} & +  0.17 x_{19} & -11.01 x_{12} & +  0.16 x_{27} & -0.69 x_{29} & -7.89 x_{14} & -6.32 x_{11} & +  0.26 x_{18} & +  0.63 x_{24} & +  0.33 x_{21} & -9.98 x_{3} & -1.31 x_{16}\\
 x_{9}   &  0.985272535038 & -0.01 x_{31} & -0.23 x_{4} & -0.01 x_{25} & +  0.01 x_{30} & +  0.02 x_{20} & +  0.02 x_{19} & -1.02 x_{12} & +  0.05 x_{27} & +  0.00 x_{29} & -0.41 x_{14} & -0.00 x_{11} & +  0.04 x_{18} & +  0.02 x_{24} & -0.01 x_{21} & -0.71 x_{3} & -0.11 x_{16}\\
 x_{13}   &  0.834034409849 & +  0.03 x_{31} & -0.51 x_{4} & +  0.00 x_{25} & -0.03 x_{30} & -0.03 x_{20} & -0.01 x_{19} & +  0.41 x_{12} & +  0.03 x_{27} & +  0.02 x_{29} & +  0.42 x_{14} & +  0.27 x_{11} & -0.02 x_{18} & +  0.01 x_{24} & -0.01 x_{21} & -0.11 x_{3} & -0.06 x_{16}\\
 x_{15}   &  0.155768581606 & -0.01 x_{31} & -0.15 x_{4} & -0.01 x_{25} & +  0.06 x_{30} & +  0.03 x_{20} & -0.03 x_{19} & -1.25 x_{12} & +  0.05 x_{27} & -0.05 x_{29} & -0.42 x_{14} & -0.16 x_{11} & +  0.05 x_{18} & +  0.06 x_{24} & -0.00 x_{21} & -1.21 x_{3} & +  0.31 x_{16}\\
 x_{32}   &  82.6255783568 & -0.58 x_{31} & -11.52 x_{4} & +  0.07 x_{25} & -0.23 x_{30} & -0.05 x_{20} & +  0.29 x_{19} & + 10.02 x_{12} & -1.52 x_{27} & +  0.22 x_{29} & + 22.50 x_{14} & -13.86 x_{11} & -1.68 x_{18} & -0.17 x_{24} & -0.57 x_{21} & + 19.45 x_{3} & +  9.80 x_{16}\\
\hline
z    &  27.9593329556 & -0.03 x_{31} & -11.65 x_{4} & -0.40 x_{25} & +  0.78 x_{30} & -0.05 x_{20} & -0.15 x_{19} & -10.48 x_{12} & +  0.42 x_{27} & -0.29 x_{29} & -5.43 x_{14} & -2.13 x_{11} & +  0.43 x_{18} & +  0.34 x_{24} & +  0.05 x_{21} & -4.41 x_{3} & +  0.02 x_{16}\\
\end{array}\]


 $ x_{16} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  17.3953483272 & -0.38 x_{31} & + 21.29 x_{4} & +  0.30 x_{25} & -0.91 x_{30} & +  0.32 x_{20} & +  0.37 x_{19} & -12.10 x_{12} & -0.48 x_{27} & -0.19 x_{29} & +  6.61 x_{14} & +  2.47 x_{11} & -0.35 x_{18} & +  0.23 x_{24} & +  0.70 x_{21} & +  2.41 x_{3} & -4.19 x_{1}\\
 x_{10}   &  0.0485645342695 & +  0.02 x_{31} & -0.89 x_{4} & +  0.00 x_{25} & +  0.10 x_{30} & -0.00 x_{20} & +  0.01 x_{19} & -0.37 x_{12} & +  0.02 x_{27} & +  0.02 x_{29} & -0.23 x_{14} & -0.07 x_{11} & +  0.04 x_{18} & -0.00 x_{24} & -0.05 x_{21} & +  0.65 x_{3} & +  1.03 x_{1}\\
 x_{7}   &  2.7394705979 & -0.01 x_{31} & -0.79 x_{4} & -0.03 x_{25} & +  0.04 x_{30} & -0.01 x_{20} & -0.01 x_{19} & +  0.29 x_{12} & -0.04 x_{27} & +  0.03 x_{29} & +  0.66 x_{14} & -0.14 x_{11} & -0.01 x_{18} & +  0.02 x_{24} & -0.01 x_{21} & +  0.87 x_{3} & +  0.41 x_{1}\\
 x_{5}   &  0.239543233383 & -0.05 x_{31} & +  0.71 x_{4} & +  0.04 x_{25} & +  0.01 x_{30} & -0.02 x_{20} & +  0.01 x_{19} & -0.55 x_{12} & +  0.04 x_{27} & -0.02 x_{29} & -2.46 x_{14} & +  0.72 x_{11} & +  0.08 x_{18} & -0.04 x_{24} & +  0.10 x_{21} & -0.95 x_{3} & +  0.24 x_{1}\\
 x_{6}   &  1.04654576557 & +  0.02 x_{31} & +  0.08 x_{4} & -0.02 x_{25} & +  0.01 x_{30} & -0.02 x_{20} & +  0.00 x_{19} & -0.22 x_{12} & +  0.03 x_{27} & -0.03 x_{29} & -0.98 x_{14} & +  0.55 x_{11} & +  0.05 x_{18} & +  0.01 x_{24} & +  0.04 x_{21} & -0.51 x_{3} & -0.20 x_{1}\\
 x_{22}   &  12.1833552748 & +  0.31 x_{31} & -0.98 x_{4} & -0.08 x_{25} & +  0.95 x_{30} & -0.05 x_{20} & +  0.13 x_{19} & + 11.42 x_{12} & -0.73 x_{27} & +  0.31 x_{29} & -6.76 x_{14} & -3.33 x_{11} & +  0.42 x_{18} & +  0.13 x_{24} & +  0.14 x_{21} & + 15.85 x_{3} & +  4.48 x_{1}\\
 x_{23}   &  37.9761072595 & -0.64 x_{31} & + 39.61 x_{4} & +  0.87 x_{25} & -1.20 x_{30} & -0.23 x_{20} & +  0.14 x_{19} & +  1.74 x_{12} & -0.00 x_{27} & -0.46 x_{29} & -41.81 x_{14} & +  2.39 x_{11} & +  1.22 x_{18} & -1.20 x_{24} & +  2.16 x_{21} & -5.04 x_{3} & -4.67 x_{1}\\
 x_{2}   &  0.415344270381 & +  0.02 x_{31} & -0.56 x_{4} & -0.04 x_{25} & +  0.01 x_{30} & +  0.03 x_{20} & +  0.01 x_{19} & +  0.20 x_{12} & -0.01 x_{27} & +  0.02 x_{29} & +  0.14 x_{14} & +  0.41 x_{11} & -0.03 x_{18} & -0.01 x_{24} & +  0.02 x_{21} & +  1.22 x_{3} & -0.30 x_{1}\\
 x_{16}   &  0.618175753495 & +  0.01 x_{31} & +  0.22 x_{4} & -0.02 x_{25} & -0.03 x_{30} & -0.03 x_{20} & -0.06 x_{19} & +  0.92 x_{12} & +  0.02 x_{27} & +  0.01 x_{29} & -0.79 x_{14} & +  0.53 x_{11} & +  0.03 x_{18} & -0.06 x_{24} & +  0.06 x_{21} & +  0.17 x_{3} & -0.54 x_{1}\\
 x_{26}   &  42.1546905906 & -0.91 x_{31} & + 21.36 x_{4} & +  0.30 x_{25} & -0.46 x_{30} & -0.11 x_{20} & -0.79 x_{19} & -6.01 x_{12} & -0.17 x_{27} & -0.68 x_{29} & -19.76 x_{14} & -3.70 x_{11} & +  0.75 x_{18} & -0.36 x_{24} & +  1.43 x_{21} & -21.59 x_{3} & -0.17 x_{1}\\
 x_{8}   &  1.93194905905 & +  0.01 x_{31} & -1.17 x_{4} & -0.04 x_{25} & +  0.04 x_{30} & -0.03 x_{20} & -0.03 x_{19} & +  0.57 x_{12} & +  0.02 x_{27} & +  0.00 x_{29} & +  0.35 x_{14} & +  0.01 x_{11} & -0.02 x_{18} & -0.02 x_{24} & -0.05 x_{21} & +  0.43 x_{3} & -0.07 x_{1}\\
 x_{28}   &  36.689387673 & -0.15 x_{31} & -1.95 x_{4} & +  0.27 x_{25} & +  0.28 x_{30} & +  0.52 x_{20} & +  0.25 x_{19} & -12.22 x_{12} & +  0.13 x_{27} & -0.70 x_{29} & -6.85 x_{14} & -7.02 x_{11} & +  0.22 x_{18} & +  0.71 x_{24} & +  0.26 x_{21} & -10.21 x_{3} & +  0.71 x_{1}\\
 x_{9}   &  0.919053168821 & -0.01 x_{31} & -0.26 x_{4} & -0.01 x_{25} & +  0.01 x_{30} & +  0.03 x_{20} & +  0.02 x_{19} & -1.12 x_{12} & +  0.04 x_{27} & +  0.00 x_{29} & -0.32 x_{14} & -0.06 x_{11} & +  0.03 x_{18} & +  0.02 x_{24} & -0.02 x_{21} & -0.73 x_{3} & +  0.06 x_{1}\\
 x_{13}   &  0.796040378575 & +  0.03 x_{31} & -0.52 x_{4} & +  0.00 x_{25} & -0.03 x_{30} & -0.02 x_{20} & -0.01 x_{19} & +  0.35 x_{12} & +  0.03 x_{27} & +  0.02 x_{29} & +  0.46 x_{14} & +  0.24 x_{11} & -0.03 x_{18} & +  0.01 x_{24} & -0.01 x_{21} & -0.12 x_{3} & +  0.03 x_{1}\\
 x_{15}   &  0.349981407945 & -0.01 x_{31} & -0.08 x_{4} & -0.01 x_{25} & +  0.05 x_{30} & +  0.02 x_{20} & -0.05 x_{19} & -0.96 x_{12} & +  0.06 x_{27} & -0.05 x_{29} & -0.67 x_{14} & +  0.01 x_{11} & +  0.06 x_{18} & +  0.04 x_{24} & +  0.02 x_{21} & -1.15 x_{3} & -0.17 x_{1}\\
 x_{32}   &  88.6813118599 & -0.46 x_{31} & -9.33 x_{4} & -0.14 x_{25} & -0.52 x_{30} & -0.38 x_{20} & -0.31 x_{19} & + 19.08 x_{12} & -1.30 x_{27} & +  0.35 x_{29} & + 14.78 x_{14} & -8.65 x_{11} & -1.37 x_{18} & -0.74 x_{24} & -0.02 x_{21} & + 21.16 x_{3} & -5.31 x_{1}\\
\hline
z    &  27.9745644703 & -0.03 x_{31} & -11.65 x_{4} & -0.40 x_{25} & +  0.78 x_{30} & -0.05 x_{20} & -0.15 x_{19} & -10.46 x_{12} & +  0.42 x_{27} & -0.29 x_{29} & -5.45 x_{14} & -2.12 x_{11} & +  0.43 x_{18} & +  0.34 x_{24} & +  0.05 x_{21} & -4.40 x_{3} & -0.01 x_{1}\\
\end{array}\]


 $ x_{18} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  13.0129157269 & -0.59 x_{31} & + 27.20 x_{4} & +  0.74 x_{25} & -1.07 x_{30} & +  0.04 x_{20} & +  0.30 x_{19} & -14.21 x_{12} & -0.34 x_{27} & -0.42 x_{29} & +  5.11 x_{14} & -1.81 x_{11} & + 10.55 x_{2} & +  0.31 x_{24} & +  0.48 x_{21} & -10.43 x_{3} & -1.00 x_{1}\\
 x_{10}   &  0.602552408319 & +  0.05 x_{31} & -1.64 x_{4} & -0.05 x_{25} & +  0.12 x_{30} & +  0.03 x_{20} & +  0.02 x_{19} & -0.10 x_{12} & +  0.00 x_{27} & +  0.05 x_{29} & -0.04 x_{14} & +  0.48 x_{11} & -1.33 x_{2} & -0.01 x_{24} & -0.02 x_{21} & +  2.27 x_{3} & +  0.63 x_{1}\\
 x_{7}   &  2.57559730377 & -0.02 x_{31} & -0.57 x_{4} & -0.01 x_{25} & +  0.03 x_{30} & -0.02 x_{20} & -0.01 x_{19} & +  0.21 x_{12} & -0.03 x_{27} & +  0.02 x_{29} & +  0.60 x_{14} & -0.30 x_{11} & +  0.39 x_{2} & +  0.02 x_{24} & -0.02 x_{21} & +  0.39 x_{3} & +  0.53 x_{1}\\
 x_{5}   &  1.2312504407 & +  0.00 x_{31} & -0.63 x_{4} & -0.06 x_{25} & +  0.04 x_{30} & +  0.04 x_{20} & +  0.03 x_{19} & -0.08 x_{12} & +  0.01 x_{27} & +  0.03 x_{29} & -2.12 x_{14} & +  1.69 x_{11} & -2.39 x_{2} & -0.06 x_{24} & +  0.15 x_{21} & +  1.96 x_{3} & -0.48 x_{1}\\
 x_{6}   &  1.73407297009 & +  0.05 x_{31} & -0.85 x_{4} & -0.09 x_{25} & +  0.03 x_{30} & +  0.03 x_{20} & +  0.02 x_{19} & +  0.11 x_{12} & +  0.01 x_{27} & +  0.01 x_{29} & -0.74 x_{14} & +  1.22 x_{11} & -1.66 x_{2} & -0.00 x_{24} & +  0.08 x_{21} & +  1.50 x_{3} & -0.70 x_{1}\\
 x_{22}   &  17.5382335598 & +  0.57 x_{31} & -8.20 x_{4} & -0.62 x_{25} & +  1.15 x_{30} & +  0.28 x_{20} & +  0.22 x_{19} & + 13.99 x_{12} & -0.90 x_{27} & +  0.59 x_{29} & -4.93 x_{14} & +  1.90 x_{11} & -12.89 x_{2} & +  0.03 x_{24} & +  0.40 x_{21} & + 31.53 x_{3} & +  0.59 x_{1}\\
 x_{23}   &  53.3826415778 & +  0.10 x_{31} & + 18.82 x_{4} & -0.67 x_{25} & -0.64 x_{30} & +  0.73 x_{20} & +  0.40 x_{19} & +  9.13 x_{12} & -0.49 x_{27} & +  0.36 x_{29} & -36.54 x_{14} & + 17.43 x_{11} & -37.09 x_{2} & -1.47 x_{24} & +  2.92 x_{21} & + 40.09 x_{3} & -15.87 x_{1}\\
 x_{18}   &  12.6213411707 & +  0.61 x_{31} & -17.03 x_{4} & -1.26 x_{25} & +  0.45 x_{30} & +  0.78 x_{20} & +  0.21 x_{19} & +  6.06 x_{12} & -0.40 x_{27} & +  0.67 x_{29} & +  4.31 x_{14} & + 12.33 x_{11} & -30.39 x_{2} & -0.22 x_{24} & +  0.62 x_{21} & + 36.98 x_{3} & -9.17 x_{1}\\
 x_{16}   &  1.01902090142 & +  0.03 x_{31} & -0.32 x_{4} & -0.06 x_{25} & -0.02 x_{30} & -0.01 x_{20} & -0.05 x_{19} & +  1.12 x_{12} & +  0.01 x_{27} & +  0.03 x_{29} & -0.65 x_{14} & +  0.92 x_{11} & -0.97 x_{2} & -0.07 x_{24} & +  0.08 x_{21} & +  1.35 x_{3} & -0.83 x_{1}\\
 x_{26}   &  51.6745691099 & -0.45 x_{31} & +  8.51 x_{4} & -0.66 x_{25} & -0.12 x_{30} & +  0.48 x_{20} & -0.63 x_{19} & -1.44 x_{12} & -0.47 x_{27} & -0.17 x_{29} & -16.51 x_{14} & +  5.59 x_{11} & -22.92 x_{2} & -0.52 x_{24} & +  1.90 x_{21} & +  6.30 x_{3} & -7.09 x_{1}\\
 x_{8}   &  1.6769320443 & +  0.00 x_{31} & -0.83 x_{4} & -0.01 x_{25} & +  0.03 x_{30} & -0.05 x_{20} & -0.03 x_{19} & +  0.45 x_{12} & +  0.03 x_{27} & -0.01 x_{29} & +  0.26 x_{14} & -0.24 x_{11} & +  0.61 x_{2} & -0.01 x_{24} & -0.06 x_{21} & -0.32 x_{3} & +  0.12 x_{1}\\
 x_{28}   &  39.4387203387 & -0.02 x_{31} & -5.66 x_{4} & -0.00 x_{25} & +  0.38 x_{30} & +  0.69 x_{20} & +  0.30 x_{19} & -10.90 x_{12} & +  0.04 x_{27} & -0.56 x_{29} & -5.91 x_{14} & -4.34 x_{11} & -6.62 x_{2} & +  0.66 x_{24} & +  0.39 x_{21} & -2.15 x_{3} & -1.29 x_{1}\\
 x_{9}   &  1.318198571 & +  0.01 x_{31} & -0.79 x_{4} & -0.05 x_{25} & +  0.02 x_{30} & +  0.05 x_{20} & +  0.03 x_{19} & -0.93 x_{12} & +  0.03 x_{27} & +  0.02 x_{29} & -0.19 x_{14} & +  0.33 x_{11} & -0.96 x_{2} & +  0.02 x_{24} & +  0.00 x_{21} & +  0.44 x_{3} & -0.23 x_{1}\\
 x_{13}   &  0.461478912973 & +  0.01 x_{31} & -0.07 x_{4} & +  0.04 x_{25} & -0.04 x_{30} & -0.04 x_{20} & -0.01 x_{19} & +  0.19 x_{12} & +  0.04 x_{27} & +  0.00 x_{29} & +  0.35 x_{14} & -0.09 x_{11} & +  0.81 x_{2} & +  0.02 x_{24} & -0.03 x_{21} & -1.10 x_{3} & +  0.28 x_{1}\\
 x_{15}   &  1.07195670489 & +  0.03 x_{31} & -1.05 x_{4} & -0.08 x_{25} & +  0.07 x_{30} & +  0.06 x_{20} & -0.03 x_{19} & -0.61 x_{12} & +  0.03 x_{27} & -0.01 x_{29} & -0.42 x_{14} & +  0.72 x_{11} & -1.74 x_{2} & +  0.03 x_{24} & +  0.05 x_{21} & +  0.96 x_{3} & -0.69 x_{1}\\
 x_{32}   &  71.3625581221 & -1.30 x_{31} & + 14.04 x_{4} & +  1.59 x_{25} & -1.14 x_{30} & -1.45 x_{20} & -0.60 x_{19} & + 10.77 x_{12} & -0.75 x_{27} & -0.57 x_{29} & +  8.87 x_{14} & -25.57 x_{11} & + 41.70 x_{2} & -0.44 x_{24} & -0.87 x_{21} & -29.58 x_{3} & +  7.28 x_{1}\\
\hline
z    &  33.4408345596 & +  0.23 x_{31} & -19.02 x_{4} & -0.94 x_{25} & +  0.97 x_{30} & +  0.29 x_{20} & -0.06 x_{19} & -7.84 x_{12} & +  0.25 x_{27} & +  0.00 x_{29} & -3.58 x_{14} & +  3.22 x_{11} & -13.16 x_{2} & +  0.25 x_{24} & +  0.32 x_{21} & + 11.61 x_{3} & -3.99 x_{1}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  8.62367704334 & -0.71 x_{31} & + 27.85 x_{4} & +  0.40 x_{25} & -0.71 x_{30} & +  0.47 x_{20} & +  0.42 x_{19} & -15.99 x_{12} & -0.69 x_{27} & -0.46 x_{29} & +  1.78 x_{14} & -0.96 x_{11} & +  2.89 x_{2} & +  0.12 x_{24} & +  0.74 x_{21} & +  9.51 x_{13} & -3.63 x_{1}\\
 x_{10}   &  1.55742039507 & +  0.08 x_{31} & -1.78 x_{4} & +  0.02 x_{25} & +  0.04 x_{30} & -0.06 x_{20} & -0.00 x_{19} & +  0.29 x_{12} & +  0.08 x_{27} & +  0.06 x_{29} & +  0.68 x_{14} & +  0.29 x_{11} & +  0.33 x_{2} & +  0.03 x_{24} & -0.08 x_{21} & -2.07 x_{13} & +  1.20 x_{1}\\
 x_{7}   &  2.73944716476 & -0.01 x_{31} & -0.59 x_{4} & +  0.00 x_{25} & +  0.02 x_{30} & -0.04 x_{20} & -0.02 x_{19} & +  0.28 x_{12} & -0.02 x_{27} & +  0.02 x_{29} & +  0.72 x_{14} & -0.33 x_{11} & +  0.68 x_{2} & +  0.03 x_{24} & -0.03 x_{21} & -0.36 x_{13} & +  0.63 x_{1}\\
 x_{5}   &  2.05606076535 & +  0.02 x_{31} & -0.75 x_{4} & +  0.00 x_{25} & -0.03 x_{30} & -0.04 x_{20} & +  0.00 x_{19} & +  0.26 x_{12} & +  0.08 x_{27} & +  0.04 x_{29} & -1.50 x_{14} & +  1.53 x_{11} & -0.95 x_{2} & -0.02 x_{24} & +  0.10 x_{21} & -1.79 x_{13} & +  0.01 x_{1}\\
 x_{6}   &  2.36628464415 & +  0.06 x_{31} & -0.94 x_{4} & -0.04 x_{25} & -0.02 x_{30} & -0.03 x_{20} & -0.00 x_{19} & +  0.37 x_{12} & +  0.06 x_{27} & +  0.02 x_{29} & -0.26 x_{14} & +  1.10 x_{11} & -0.55 x_{2} & +  0.02 x_{24} & +  0.04 x_{21} & -1.37 x_{13} & -0.33 x_{1}\\
 x_{22}   &  30.809362056 & +  0.92 x_{31} & -10.17 x_{4} & +  0.40 x_{25} & +  0.04 x_{30} & -1.00 x_{20} & -0.15 x_{19} & + 19.39 x_{12} & +  0.16 x_{27} & +  0.69 x_{29} & +  5.13 x_{14} & -0.68 x_{11} & + 10.27 x_{2} & +  0.59 x_{24} & -0.39 x_{21} & -28.76 x_{13} & +  8.54 x_{1}\\
 x_{23}   &  70.2548744125 & +  0.54 x_{31} & + 16.32 x_{4} & +  0.63 x_{25} & -2.05 x_{30} & -0.91 x_{20} & -0.08 x_{19} & + 15.99 x_{12} & +  0.85 x_{27} & +  0.48 x_{29} & -23.75 x_{14} & + 14.16 x_{11} & -7.64 x_{2} & -0.76 x_{24} & +  1.91 x_{21} & -36.56 x_{13} & -5.76 x_{1}\\
 x_{18}   &  28.1824065904 & +  1.01 x_{31} & -19.34 x_{4} & -0.07 x_{25} & -0.84 x_{30} & -0.72 x_{20} & -0.23 x_{19} & + 12.39 x_{12} & +  0.84 x_{27} & +  0.78 x_{29} & + 16.11 x_{14} & +  9.31 x_{11} & -3.23 x_{2} & +  0.43 x_{24} & -0.31 x_{21} & -33.72 x_{13} & +  0.15 x_{1}\\
 x_{16}   &  1.58684696863 & +  0.05 x_{31} & -0.40 x_{4} & -0.02 x_{25} & -0.06 x_{30} & -0.06 x_{20} & -0.07 x_{19} & +  1.35 x_{12} & +  0.05 x_{27} & +  0.04 x_{29} & -0.22 x_{14} & +  0.81 x_{11} & +  0.03 x_{2} & -0.04 x_{24} & +  0.04 x_{21} & -1.23 x_{13} & -0.49 x_{1}\\
 x_{26}   &  54.327325922 & -0.38 x_{31} & +  8.12 x_{4} & -0.45 x_{25} & -0.34 x_{30} & +  0.22 x_{20} & -0.71 x_{19} & -0.36 x_{12} & -0.26 x_{27} & -0.15 x_{29} & -14.50 x_{14} & +  5.08 x_{11} & -18.29 x_{2} & -0.41 x_{24} & +  1.74 x_{21} & -5.75 x_{13} & -5.50 x_{1}\\
 x_{8}   &  1.54397011749 & -0.00 x_{31} & -0.81 x_{4} & -0.02 x_{25} & +  0.04 x_{30} & -0.03 x_{20} & -0.03 x_{19} & +  0.40 x_{12} & +  0.02 x_{27} & -0.01 x_{29} & +  0.16 x_{14} & -0.21 x_{11} & +  0.38 x_{2} & -0.02 x_{24} & -0.05 x_{21} & +  0.29 x_{13} & +  0.04 x_{1}\\
 x_{28}   &  38.5324185086 & -0.04 x_{31} & -5.52 x_{4} & -0.07 x_{25} & +  0.46 x_{30} & +  0.78 x_{20} & +  0.33 x_{19} & -11.27 x_{12} & -0.03 x_{27} & -0.57 x_{29} & -6.60 x_{14} & -4.16 x_{11} & -8.20 x_{2} & +  0.62 x_{24} & +  0.45 x_{21} & +  1.96 x_{13} & -1.83 x_{1}\\
 x_{9}   &  1.50351669652 & +  0.01 x_{31} & -0.82 x_{4} & -0.04 x_{25} & +  0.01 x_{30} & +  0.03 x_{20} & +  0.03 x_{19} & -0.85 x_{12} & +  0.05 x_{27} & +  0.02 x_{29} & -0.04 x_{14} & +  0.29 x_{11} & -0.64 x_{2} & +  0.02 x_{24} & -0.01 x_{21} & -0.40 x_{13} & -0.12 x_{1}\\
 x_{3}   &  0.420852606077 & +  0.01 x_{31} & -0.06 x_{4} & +  0.03 x_{25} & -0.04 x_{30} & -0.04 x_{20} & -0.01 x_{19} & +  0.17 x_{12} & +  0.03 x_{27} & +  0.00 x_{29} & +  0.32 x_{14} & -0.08 x_{11} & +  0.73 x_{2} & +  0.02 x_{24} & -0.03 x_{21} & -0.91 x_{13} & +  0.25 x_{1}\\
 x_{15}   &  1.47665394666 & +  0.04 x_{31} & -1.11 x_{4} & -0.05 x_{25} & +  0.04 x_{30} & +  0.02 x_{20} & -0.05 x_{19} & -0.45 x_{12} & +  0.07 x_{27} & -0.01 x_{29} & -0.11 x_{14} & +  0.64 x_{11} & -1.03 x_{2} & +  0.05 x_{24} & +  0.03 x_{21} & -0.88 x_{13} & -0.45 x_{1}\\
 x_{32}   &  58.9155233901 & -1.62 x_{31} & + 15.88 x_{4} & +  0.64 x_{25} & -0.10 x_{30} & -0.25 x_{20} & -0.25 x_{19} & +  5.71 x_{12} & -1.75 x_{27} & -0.66 x_{29} & -0.57 x_{14} & -23.15 x_{11} & + 19.97 x_{2} & -0.96 x_{24} & -0.13 x_{21} & + 26.97 x_{13} & -0.18 x_{1}\\
\hline
z    &  38.3265769158 & +  0.36 x_{31} & -19.75 x_{4} & -0.57 x_{25} & +  0.57 x_{30} & -0.19 x_{20} & -0.20 x_{19} & -5.85 x_{12} & +  0.64 x_{27} & +  0.04 x_{29} & +  0.12 x_{14} & +  2.27 x_{11} & -4.63 x_{2} & +  0.45 x_{24} & +  0.03 x_{21} & -10.59 x_{13} & -1.06 x_{1}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{32} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  6.18896730419 & -0.64 x_{31} & + 27.19 x_{4} & +  0.37 x_{25} & -0.70 x_{30} & +  0.48 x_{20} & +  0.43 x_{19} & -16.23 x_{12} & -0.62 x_{27} & -0.43 x_{29} & +  1.80 x_{14} & +  0.04 x_{32} & +  2.06 x_{2} & +  0.16 x_{24} & +  0.75 x_{21} & +  8.40 x_{13} & -3.63 x_{1}\\
 x_{10}   &  2.2957483471 & +  0.05 x_{31} & -1.58 x_{4} & +  0.03 x_{25} & +  0.04 x_{30} & -0.06 x_{20} & -0.01 x_{19} & +  0.36 x_{12} & +  0.06 x_{27} & +  0.05 x_{29} & +  0.67 x_{14} & -0.01 x_{32} & +  0.58 x_{2} & +  0.02 x_{24} & -0.08 x_{21} & -1.73 x_{13} & +  1.20 x_{1}\\
 x_{7}   &  1.89547126026 & +  0.01 x_{31} & -0.82 x_{4} & -0.01 x_{25} & +  0.02 x_{30} & -0.04 x_{20} & -0.02 x_{19} & +  0.20 x_{12} & +  0.00 x_{27} & +  0.03 x_{29} & +  0.73 x_{14} & +  0.01 x_{32} & +  0.39 x_{2} & +  0.04 x_{24} & -0.03 x_{21} & -0.74 x_{13} & +  0.63 x_{1}\\
 x_{5}   &  5.93828415327 & -0.08 x_{31} & +  0.29 x_{4} & +  0.04 x_{25} & -0.03 x_{30} & -0.05 x_{20} & -0.01 x_{19} & +  0.64 x_{12} & -0.04 x_{27} & -0.01 x_{29} & -1.53 x_{14} & -0.07 x_{32} & +  0.37 x_{2} & -0.09 x_{24} & +  0.09 x_{21} & -0.01 x_{13} & -0.00 x_{1}\\
 x_{6}   &  5.15533130967 & -0.01 x_{31} & -0.19 x_{4} & -0.01 x_{25} & -0.02 x_{30} & -0.05 x_{20} & -0.01 x_{19} & +  0.64 x_{12} & -0.02 x_{27} & -0.02 x_{29} & -0.29 x_{14} & -0.05 x_{32} & +  0.39 x_{2} & -0.02 x_{24} & +  0.03 x_{21} & -0.09 x_{13} & -0.33 x_{1}\\
 x_{22}   &  29.0915254275 & +  0.97 x_{31} & -10.63 x_{4} & +  0.38 x_{25} & +  0.04 x_{30} & -0.99 x_{20} & -0.15 x_{19} & + 19.23 x_{12} & +  0.21 x_{27} & +  0.71 x_{29} & +  5.15 x_{14} & +  0.03 x_{32} & +  9.69 x_{2} & +  0.62 x_{24} & -0.39 x_{21} & -29.54 x_{13} & +  8.54 x_{1}\\
 x_{23}   &  106.282467521 & -0.45 x_{31} & + 26.04 x_{4} & +  1.01 x_{25} & -2.11 x_{30} & -1.06 x_{20} & -0.23 x_{19} & + 19.48 x_{12} & -0.22 x_{27} & +  0.08 x_{29} & -24.10 x_{14} & -0.61 x_{32} & +  4.57 x_{2} & -1.35 x_{24} & +  1.83 x_{21} & -20.07 x_{13} & -5.87 x_{1}\\
 x_{18}   &  51.8662829952 & +  0.36 x_{31} & -12.95 x_{4} & +  0.19 x_{25} & -0.88 x_{30} & -0.82 x_{20} & -0.33 x_{19} & + 14.68 x_{12} & +  0.14 x_{27} & +  0.52 x_{29} & + 15.88 x_{14} & -0.40 x_{32} & +  4.80 x_{2} & +  0.05 x_{24} & -0.36 x_{21} & -22.88 x_{13} & +  0.08 x_{1}\\
 x_{16}   &  3.65459165489 & -0.01 x_{31} & +  0.16 x_{4} & +  0.00 x_{25} & -0.07 x_{30} & -0.07 x_{20} & -0.08 x_{19} & +  1.55 x_{12} & -0.01 x_{27} & +  0.02 x_{29} & -0.24 x_{14} & -0.04 x_{32} & +  0.73 x_{2} & -0.08 x_{24} & +  0.04 x_{21} & -0.28 x_{13} & -0.50 x_{1}\\
 x_{26}   &  67.254982659 & -0.74 x_{31} & + 11.61 x_{4} & -0.31 x_{25} & -0.37 x_{30} & +  0.17 x_{20} & -0.76 x_{19} & +  0.89 x_{12} & -0.64 x_{27} & -0.30 x_{29} & -14.63 x_{14} & -0.22 x_{32} & -13.91 x_{2} & -0.62 x_{24} & +  1.72 x_{21} & +  0.17 x_{13} & -5.54 x_{1}\\
 x_{8}   &  1.00682304832 & +  0.01 x_{31} & -0.95 x_{4} & -0.03 x_{25} & +  0.04 x_{30} & -0.03 x_{20} & -0.03 x_{19} & +  0.34 x_{12} & +  0.03 x_{27} & -0.00 x_{29} & +  0.16 x_{14} & +  0.01 x_{32} & +  0.20 x_{2} & -0.01 x_{24} & -0.05 x_{21} & +  0.04 x_{13} & +  0.04 x_{1}\\
 x_{28}   &  27.946849985 & +  0.25 x_{31} & -8.38 x_{4} & -0.18 x_{25} & +  0.47 x_{30} & +  0.82 x_{20} & +  0.37 x_{19} & -12.29 x_{12} & +  0.28 x_{27} & -0.45 x_{29} & -6.50 x_{14} & +  0.18 x_{32} & -11.79 x_{2} & +  0.80 x_{24} & +  0.47 x_{21} & -2.88 x_{13} & -1.80 x_{1}\\
 x_{9}   &  2.24742941232 & -0.01 x_{31} & -0.62 x_{4} & -0.03 x_{25} & +  0.01 x_{30} & +  0.03 x_{20} & +  0.02 x_{19} & -0.78 x_{12} & +  0.02 x_{27} & +  0.02 x_{29} & -0.05 x_{14} & -0.01 x_{32} & -0.39 x_{2} & +  0.01 x_{24} & -0.01 x_{21} & -0.06 x_{13} & -0.12 x_{1}\\
 x_{3}   &  0.213193923403 & +  0.02 x_{31} & -0.12 x_{4} & +  0.03 x_{25} & -0.03 x_{30} & -0.04 x_{20} & -0.01 x_{19} & +  0.15 x_{12} & +  0.04 x_{27} & +  0.01 x_{29} & +  0.32 x_{14} & +  0.00 x_{32} & +  0.66 x_{2} & +  0.02 x_{24} & -0.02 x_{21} & -1.01 x_{13} & +  0.25 x_{1}\\
 x_{15}   &  3.09817366346 & -0.01 x_{31} & -0.68 x_{4} & -0.04 x_{25} & +  0.04 x_{30} & +  0.02 x_{20} & -0.05 x_{19} & -0.29 x_{12} & +  0.02 x_{27} & -0.03 x_{29} & -0.13 x_{14} & -0.03 x_{32} & -0.48 x_{2} & +  0.02 x_{24} & +  0.02 x_{21} & -0.13 x_{13} & -0.46 x_{1}\\
 x_{11}   &  2.54454708027 & -0.07 x_{31} & +  0.69 x_{4} & +  0.03 x_{25} & -0.00 x_{30} & -0.01 x_{20} & -0.01 x_{19} & +  0.25 x_{12} & -0.08 x_{27} & -0.03 x_{29} & -0.02 x_{14} & -0.04 x_{32} & +  0.86 x_{2} & -0.04 x_{24} & -0.01 x_{21} & +  1.16 x_{13} & -0.01 x_{1}\\
\hline
z    &  44.1078185777 & +  0.20 x_{31} & -18.19 x_{4} & -0.51 x_{25} & +  0.56 x_{30} & -0.21 x_{20} & -0.22 x_{19} & -5.29 x_{12} & +  0.47 x_{27} & -0.03 x_{29} & +  0.06 x_{14} & -0.10 x_{32} & -2.67 x_{2} & +  0.35 x_{24} & +  0.02 x_{21} & -7.94 x_{13} & -1.08 x_{1}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  13.1787587782 & -0.74 x_{31} & + 27.54 x_{4} & +  0.42 x_{25} & -0.74 x_{30} & +  0.42 x_{20} & +  0.42 x_{19} & -15.48 x_{12} & -0.66 x_{27} & -0.44 x_{29} & -1.18 x_{5} & -0.04 x_{32} & +  2.50 x_{2} & +  0.06 x_{24} & +  0.85 x_{21} & +  8.38 x_{13} & -3.63 x_{1}\\
 x_{10}   &  4.90358417936 & +  0.02 x_{31} & -1.46 x_{4} & +  0.05 x_{25} & +  0.02 x_{30} & -0.09 x_{20} & -0.01 x_{19} & +  0.64 x_{12} & +  0.04 x_{27} & +  0.05 x_{29} & -0.44 x_{5} & -0.04 x_{32} & +  0.74 x_{2} & -0.02 x_{24} & -0.04 x_{21} & -1.74 x_{13} & +  1.20 x_{1}\\
 x_{7}   &  4.73341847169 & -0.03 x_{31} & -0.68 x_{4} & +  0.01 x_{25} & +  0.01 x_{30} & -0.06 x_{20} & -0.02 x_{19} & +  0.50 x_{12} & -0.01 x_{27} & +  0.03 x_{29} & -0.48 x_{5} & -0.02 x_{32} & +  0.57 x_{2} & -0.00 x_{24} & +  0.01 x_{21} & -0.75 x_{13} & +  0.63 x_{1}\\
 x_{14}   &  3.87334445719 & -0.06 x_{31} & +  0.19 x_{4} & +  0.03 x_{25} & -0.02 x_{30} & -0.04 x_{20} & -0.01 x_{19} & +  0.41 x_{12} & -0.03 x_{27} & -0.00 x_{29} & -0.65 x_{5} & -0.04 x_{32} & +  0.24 x_{2} & -0.06 x_{24} & +  0.06 x_{21} & -0.01 x_{13} & -0.00 x_{1}\\
 x_{6}   &  4.03765171403 & +  0.00 x_{31} & -0.25 x_{4} & -0.01 x_{25} & -0.02 x_{30} & -0.04 x_{20} & -0.01 x_{19} & +  0.52 x_{12} & -0.02 x_{27} & -0.01 x_{29} & +  0.19 x_{5} & -0.03 x_{32} & +  0.32 x_{2} & -0.01 x_{24} & +  0.02 x_{21} & -0.09 x_{13} & -0.33 x_{1}\\
 x_{22}   &  49.0400351702 & +  0.68 x_{31} & -9.65 x_{4} & +  0.52 x_{25} & -0.06 x_{30} & -1.18 x_{20} & -0.19 x_{19} & + 21.36 x_{12} & +  0.08 x_{27} & +  0.69 x_{29} & -3.36 x_{5} & -0.19 x_{32} & + 10.93 x_{2} & +  0.32 x_{24} & -0.09 x_{21} & -29.58 x_{13} & +  8.54 x_{1}\\
 x_{23}   &  12.9274425004 & +  0.87 x_{31} & + 21.43 x_{4} & +  0.35 x_{25} & -1.61 x_{30} & -0.21 x_{20} & -0.04 x_{19} & +  9.49 x_{12} & +  0.40 x_{27} & +  0.17 x_{29} & + 15.72 x_{5} & +  0.42 x_{32} & -1.22 x_{2} & +  0.02 x_{24} & +  0.43 x_{21} & -19.91 x_{13} & -5.86 x_{1}\\
 x_{18}   &  113.376344607 & -0.51 x_{31} & -9.92 x_{4} & +  0.62 x_{25} & -1.22 x_{30} & -1.38 x_{20} & -0.46 x_{19} & + 21.27 x_{12} & -0.27 x_{27} & +  0.46 x_{29} & -10.36 x_{5} & -1.08 x_{32} & +  8.61 x_{2} & -0.86 x_{24} & +  0.56 x_{21} & -22.98 x_{13} & +  0.07 x_{1}\\
 x_{16}   &  2.72239737794 & +  0.00 x_{31} & +  0.11 x_{4} & -0.00 x_{25} & -0.06 x_{30} & -0.06 x_{20} & -0.08 x_{19} & +  1.45 x_{12} & -0.00 x_{27} & +  0.02 x_{29} & +  0.16 x_{5} & -0.02 x_{32} & +  0.67 x_{2} & -0.06 x_{24} & +  0.02 x_{21} & -0.28 x_{13} & -0.50 x_{1}\\
 x_{26}   &  10.6045825914 & +  0.07 x_{31} & +  8.81 x_{4} & -0.71 x_{25} & -0.06 x_{30} & +  0.68 x_{20} & -0.64 x_{19} & -5.17 x_{12} & -0.27 x_{27} & -0.24 x_{29} & +  9.54 x_{5} & +  0.41 x_{32} & -17.42 x_{2} & +  0.21 x_{24} & +  0.86 x_{21} & +  0.27 x_{13} & -5.54 x_{1}\\
 x_{8}   &  1.63657828803 & +  0.00 x_{31} & -0.92 x_{4} & -0.02 x_{25} & +  0.04 x_{30} & -0.04 x_{20} & -0.03 x_{19} & +  0.41 x_{12} & +  0.03 x_{27} & -0.01 x_{29} & -0.11 x_{5} & +  0.00 x_{32} & +  0.24 x_{2} & -0.02 x_{24} & -0.04 x_{21} & +  0.04 x_{13} & +  0.04 x_{1}\\
 x_{28}   &  2.77721953718 & +  0.61 x_{31} & -9.62 x_{4} & -0.36 x_{25} & +  0.61 x_{30} & +  1.05 x_{20} & +  0.42 x_{19} & -14.99 x_{12} & +  0.45 x_{27} & -0.42 x_{29} & +  4.24 x_{5} & +  0.46 x_{32} & -13.35 x_{2} & +  1.17 x_{24} & +  0.09 x_{21} & -2.84 x_{13} & -1.80 x_{1}\\
 x_{9}   &  2.04583375484 & -0.00 x_{31} & -0.63 x_{4} & -0.03 x_{25} & +  0.01 x_{30} & +  0.03 x_{20} & +  0.02 x_{19} & -0.80 x_{12} & +  0.03 x_{27} & +  0.02 x_{29} & +  0.03 x_{5} & -0.01 x_{32} & -0.40 x_{2} & +  0.01 x_{24} & -0.01 x_{21} & -0.06 x_{13} & -0.12 x_{1}\\
 x_{3}   &  1.45675535345 & -0.00 x_{31} & -0.06 x_{4} & +  0.04 x_{25} & -0.04 x_{30} & -0.05 x_{20} & -0.01 x_{19} & +  0.28 x_{12} & +  0.03 x_{27} & +  0.00 x_{29} & -0.21 x_{5} & -0.01 x_{32} & +  0.74 x_{2} & +  0.00 x_{24} & -0.01 x_{21} & -1.01 x_{13} & +  0.25 x_{1}\\
 x_{15}   &  2.60005181055 & +  0.00 x_{31} & -0.70 x_{4} & -0.04 x_{25} & +  0.04 x_{30} & +  0.02 x_{20} & -0.05 x_{19} & -0.34 x_{12} & +  0.02 x_{27} & -0.03 x_{29} & +  0.08 x_{5} & -0.02 x_{32} & -0.51 x_{2} & +  0.03 x_{24} & +  0.02 x_{21} & -0.13 x_{13} & -0.46 x_{1}\\
 x_{11}   &  2.44904140341 & -0.07 x_{31} & +  0.68 x_{4} & +  0.03 x_{25} & -0.00 x_{30} & -0.01 x_{20} & -0.01 x_{19} & +  0.24 x_{12} & -0.07 x_{27} & -0.03 x_{29} & +  0.02 x_{5} & -0.04 x_{32} & +  0.86 x_{2} & -0.04 x_{24} & -0.01 x_{21} & +  1.17 x_{13} & -0.01 x_{1}\\
\hline
z    &  44.3551066575 & +  0.20 x_{31} & -18.17 x_{4} & -0.50 x_{25} & +  0.55 x_{30} & -0.21 x_{20} & -0.22 x_{19} & -5.26 x_{12} & +  0.46 x_{27} & -0.03 x_{29} & -0.04 x_{5} & -0.10 x_{32} & -2.66 x_{2} & +  0.35 x_{24} & +  0.02 x_{21} & -7.94 x_{13} & -1.08 x_{1}\\
\end{array}\]


 $ x_{21} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  46.9956029722 & -0.65 x_{31} & +  8.53 x_{4} & -0.04 x_{25} & +  0.08 x_{30} & -0.32 x_{20} & -0.15 x_{19} & -6.96 x_{12} & -0.04 x_{27} & -0.54 x_{29} & -3.37 x_{5} & +  0.01 x_{32} & +  7.43 x_{2} & -0.36 x_{24} & -20.66 x_{8} & +  9.24 x_{13} & -2.82 x_{1}\\
 x_{10}   &  3.41506949982 & +  0.01 x_{31} & -0.62 x_{4} & +  0.07 x_{25} & -0.01 x_{30} & -0.06 x_{20} & +  0.01 x_{19} & +  0.26 x_{12} & +  0.01 x_{27} & +  0.05 x_{29} & -0.34 x_{5} & -0.04 x_{32} & +  0.53 x_{2} & -0.00 x_{24} & +  0.91 x_{8} & -1.77 x_{13} & +  1.16 x_{1}\\
 x_{7}   &  5.24745675446 & -0.03 x_{31} & -0.97 x_{4} & +  0.01 x_{25} & +  0.02 x_{30} & -0.07 x_{20} & -0.03 x_{19} & +  0.63 x_{12} & -0.01 x_{27} & +  0.02 x_{29} & -0.51 x_{5} & -0.02 x_{32} & +  0.65 x_{2} & -0.01 x_{24} & -0.31 x_{8} & -0.73 x_{13} & +  0.64 x_{1}\\
 x_{14}   &  6.17890220775 & -0.05 x_{31} & -1.11 x_{4} & -0.00 x_{25} & +  0.03 x_{30} & -0.09 x_{20} & -0.05 x_{19} & +  1.00 x_{12} & +  0.02 x_{27} & -0.01 x_{29} & -0.80 x_{5} & -0.04 x_{32} & +  0.58 x_{2} & -0.09 x_{24} & -1.41 x_{8} & +  0.05 x_{13} & +  0.05 x_{1}\\
 x_{6}   &  4.67748812785 & +  0.01 x_{31} & -0.61 x_{4} & -0.02 x_{25} & -0.00 x_{30} & -0.05 x_{20} & -0.02 x_{19} & +  0.68 x_{12} & -0.00 x_{27} & -0.02 x_{29} & +  0.15 x_{5} & -0.03 x_{32} & +  0.42 x_{2} & -0.01 x_{24} & -0.39 x_{8} & -0.08 x_{13} & -0.32 x_{1}\\
 x_{22}   &  45.6224508691 & +  0.67 x_{31} & -7.73 x_{4} & +  0.57 x_{25} & -0.15 x_{30} & -1.10 x_{20} & -0.13 x_{19} & + 20.50 x_{12} & +  0.01 x_{27} & +  0.70 x_{29} & -3.14 x_{5} & -0.20 x_{32} & + 10.43 x_{2} & +  0.36 x_{24} & +  2.09 x_{8} & -29.66 x_{13} & +  8.46 x_{1}\\
 x_{23}   &  29.8037886949 & +  0.92 x_{31} & + 11.94 x_{4} & +  0.12 x_{25} & -1.20 x_{30} & -0.57 x_{20} & -0.32 x_{19} & + 13.74 x_{12} & +  0.71 x_{27} & +  0.12 x_{29} & + 14.63 x_{5} & +  0.45 x_{32} & +  1.25 x_{2} & -0.18 x_{24} & -10.31 x_{8} & -19.49 x_{13} & -5.46 x_{1}\\
 x_{18}   &  135.718889483 & -0.45 x_{31} & -22.48 x_{4} & +  0.32 x_{25} & -0.68 x_{30} & -1.87 x_{20} & -0.83 x_{19} & + 26.90 x_{12} & +  0.15 x_{27} & +  0.39 x_{29} & -11.81 x_{5} & -1.06 x_{32} & + 11.88 x_{2} & -1.14 x_{24} & -13.65 x_{8} & -22.42 x_{13} & +  0.60 x_{1}\\
 x_{16}   &  3.6416041984 & +  0.01 x_{31} & -0.41 x_{4} & -0.01 x_{25} & -0.04 x_{30} & -0.08 x_{20} & -0.09 x_{19} & +  1.68 x_{12} & +  0.02 x_{27} & +  0.01 x_{29} & +  0.10 x_{5} & -0.02 x_{32} & +  0.80 x_{2} & -0.07 x_{24} & -0.56 x_{8} & -0.26 x_{13} & -0.48 x_{1}\\
 x_{26}   &  44.8184718431 & +  0.15 x_{31} & -10.42 x_{4} & -1.18 x_{25} & +  0.76 x_{30} & -0.06 x_{20} & -1.22 x_{19} & +  3.45 x_{12} & +  0.36 x_{27} & -0.35 x_{29} & +  7.32 x_{5} & +  0.45 x_{32} & -12.43 x_{2} & -0.21 x_{24} & -20.91 x_{8} & +  1.13 x_{13} & -4.72 x_{1}\\
 x_{21}   &  39.5846546799 & +  0.10 x_{31} & -22.25 x_{4} & -0.54 x_{25} & +  0.95 x_{30} & -0.86 x_{20} & -0.66 x_{19} & +  9.97 x_{12} & +  0.73 x_{27} & -0.13 x_{29} & -2.57 x_{5} & +  0.05 x_{32} & +  5.78 x_{2} & -0.49 x_{24} & -24.19 x_{8} & +  1.00 x_{13} & +  0.94 x_{1}\\
 x_{28}   &  6.375071755 & +  0.62 x_{31} & -11.64 x_{4} & -0.41 x_{25} & +  0.70 x_{30} & +  0.97 x_{20} & +  0.36 x_{19} & -14.08 x_{12} & +  0.52 x_{27} & -0.44 x_{29} & +  4.01 x_{5} & +  0.46 x_{32} & -12.82 x_{2} & +  1.12 x_{24} & -2.20 x_{8} & -2.75 x_{13} & -1.71 x_{1}\\
 x_{9}   &  1.48475989958 & -0.01 x_{31} & -0.32 x_{4} & -0.02 x_{25} & -0.01 x_{30} & +  0.05 x_{20} & +  0.03 x_{19} & -0.94 x_{12} & +  0.01 x_{27} & +  0.02 x_{29} & +  0.07 x_{5} & -0.01 x_{32} & -0.48 x_{2} & +  0.02 x_{24} & +  0.34 x_{8} & -0.07 x_{13} & -0.14 x_{1}\\
 x_{3}   &  1.21795496286 & -0.00 x_{31} & +  0.08 x_{4} & +  0.04 x_{25} & -0.05 x_{30} & -0.05 x_{20} & -0.01 x_{19} & +  0.22 x_{12} & +  0.03 x_{27} & +  0.01 x_{29} & -0.19 x_{5} & -0.01 x_{32} & +  0.71 x_{2} & +  0.01 x_{24} & +  0.15 x_{8} & -1.02 x_{13} & +  0.25 x_{1}\\
 x_{15}   &  3.22697000205 & +  0.00 x_{31} & -1.05 x_{4} & -0.05 x_{25} & +  0.05 x_{30} & +  0.01 x_{20} & -0.06 x_{19} & -0.18 x_{12} & +  0.03 x_{27} & -0.03 x_{29} & +  0.04 x_{5} & -0.02 x_{32} & -0.42 x_{2} & +  0.02 x_{24} & -0.38 x_{8} & -0.12 x_{13} & -0.44 x_{1}\\
 x_{11}   &  2.17544687722 & -0.07 x_{31} & +  0.84 x_{4} & +  0.03 x_{25} & -0.01 x_{30} & -0.00 x_{20} & -0.01 x_{19} & +  0.17 x_{12} & -0.08 x_{27} & -0.03 x_{29} & +  0.03 x_{5} & -0.04 x_{32} & +  0.82 x_{2} & -0.04 x_{24} & +  0.17 x_{8} & +  1.16 x_{13} & -0.01 x_{1}\\
\hline
z    &  45.1557778305 & +  0.20 x_{31} & -18.62 x_{4} & -0.52 x_{25} & +  0.57 x_{30} & -0.23 x_{20} & -0.24 x_{19} & -5.06 x_{12} & +  0.48 x_{27} & -0.03 x_{29} & -0.09 x_{5} & -0.10 x_{32} & -2.54 x_{2} & +  0.34 x_{24} & -0.49 x_{8} & -7.92 x_{13} & -1.06 x_{1}\\
\end{array}\]


 $ x_{24} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  29.3495581013 & -0.68 x_{31} & + 10.50 x_{4} & +  0.03 x_{25} & +  0.27 x_{30} & +  0.08 x_{20} & +  0.30 x_{19} & -15.10 x_{12} & -0.12 x_{27} & -0.61 x_{29} & -3.84 x_{5} & +  0.12 x_{32} & +  3.54 x_{2} & +  4.85 x_{16} & -17.94 x_{8} & + 10.49 x_{13} & -0.51 x_{1}\\
 x_{10}   &  3.24736507698 & +  0.01 x_{31} & -0.60 x_{4} & +  0.07 x_{25} & -0.01 x_{30} & -0.05 x_{20} & +  0.02 x_{19} & +  0.18 x_{12} & +  0.01 x_{27} & +  0.05 x_{29} & -0.35 x_{5} & -0.04 x_{32} & +  0.49 x_{2} & +  0.05 x_{16} & +  0.94 x_{8} & -1.76 x_{13} & +  1.18 x_{1}\\
 x_{7}   &  4.89689829649 & -0.03 x_{31} & -0.93 x_{4} & +  0.01 x_{25} & +  0.02 x_{30} & -0.07 x_{20} & -0.02 x_{19} & +  0.47 x_{12} & -0.01 x_{27} & +  0.02 x_{29} & -0.52 x_{5} & -0.01 x_{32} & +  0.57 x_{2} & +  0.10 x_{16} & -0.26 x_{8} & -0.71 x_{13} & +  0.69 x_{1}\\
 x_{14}   &  1.93761261288 & -0.06 x_{31} & -0.63 x_{4} & +  0.01 x_{25} & +  0.08 x_{30} & +  0.01 x_{20} & +  0.06 x_{19} & -0.96 x_{12} & -0.00 x_{27} & -0.03 x_{29} & -0.92 x_{5} & -0.01 x_{32} & -0.36 x_{2} & +  1.16 x_{16} & -0.75 x_{8} & +  0.35 x_{13} & +  0.61 x_{1}\\
 x_{6}   &  3.99659173846 & +  0.00 x_{31} & -0.53 x_{4} & -0.02 x_{25} & +  0.00 x_{30} & -0.03 x_{20} & -0.00 x_{19} & +  0.36 x_{12} & -0.01 x_{27} & -0.02 x_{29} & +  0.13 x_{5} & -0.03 x_{32} & +  0.27 x_{2} & +  0.19 x_{16} & -0.29 x_{8} & -0.03 x_{13} & -0.23 x_{1}\\
 x_{22}   &  63.6887158519 & +  0.70 x_{31} & -9.74 x_{4} & +  0.50 x_{25} & -0.34 x_{30} & -1.51 x_{20} & -0.59 x_{19} & + 28.83 x_{12} & +  0.10 x_{27} & +  0.77 x_{29} & -2.65 x_{5} & -0.31 x_{32} & + 14.41 x_{2} & -4.96 x_{16} & -0.70 x_{8} & -30.95 x_{13} & +  6.09 x_{1}\\
 x_{23}   &  20.6395076441 & +  0.90 x_{31} & + 12.97 x_{4} & +  0.16 x_{25} & -1.10 x_{30} & -0.36 x_{20} & -0.09 x_{19} & +  9.51 x_{12} & +  0.67 x_{27} & +  0.08 x_{29} & + 14.38 x_{5} & +  0.51 x_{32} & -0.77 x_{2} & +  2.52 x_{16} & -8.90 x_{8} & -18.83 x_{13} & -4.26 x_{1}\\
 x_{18}   &  79.3556421818 & -0.54 x_{31} & -16.18 x_{4} & +  0.54 x_{25} & -0.07 x_{30} & -0.58 x_{20} & +  0.60 x_{19} & +  0.89 x_{12} & -0.11 x_{27} & +  0.18 x_{29} & -13.31 x_{5} & -0.69 x_{32} & -0.56 x_{2} & + 15.48 x_{16} & -4.96 x_{8} & -18.41 x_{13} & +  7.99 x_{1}\\
 x_{24}   &  49.6021497271 & +  0.07 x_{31} & -5.54 x_{4} & -0.20 x_{25} & -0.53 x_{30} & -1.13 x_{20} & -1.26 x_{19} & + 22.88 x_{12} & +  0.22 x_{27} & +  0.19 x_{29} & +  1.33 x_{5} & -0.32 x_{32} & + 10.94 x_{2} & -13.62 x_{16} & -7.65 x_{8} & -3.53 x_{13} & -6.50 x_{1}\\
 x_{26}   &  34.4176902213 & +  0.14 x_{31} & -9.26 x_{4} & -1.14 x_{25} & +  0.87 x_{30} & +  0.18 x_{20} & -0.95 x_{19} & -1.35 x_{12} & +  0.32 x_{27} & -0.39 x_{29} & +  7.04 x_{5} & +  0.52 x_{32} & -14.72 x_{2} & +  2.86 x_{16} & -19.30 x_{8} & +  1.87 x_{13} & -3.36 x_{1}\\
 x_{21}   &  15.3500708548 & +  0.07 x_{31} & -19.55 x_{4} & -0.45 x_{25} & +  1.21 x_{30} & -0.31 x_{20} & -0.05 x_{19} & -1.21 x_{12} & +  0.62 x_{27} & -0.22 x_{29} & -3.21 x_{5} & +  0.21 x_{32} & +  0.43 x_{2} & +  6.65 x_{16} & -20.45 x_{8} & +  2.72 x_{13} & +  4.12 x_{1}\\
 x_{28}   &  62.0569251654 & +  0.70 x_{31} & -17.86 x_{4} & -0.63 x_{25} & +  0.10 x_{30} & -0.30 x_{20} & -1.05 x_{19} & + 11.61 x_{12} & +  0.77 x_{27} & -0.23 x_{29} & +  5.49 x_{5} & +  0.10 x_{32} & -0.54 x_{2} & -15.29 x_{16} & -10.79 x_{8} & -6.71 x_{13} & -9.01 x_{1}\\
 x_{9}   &  2.53749636658 & -0.00 x_{31} & -0.43 x_{4} & -0.03 x_{25} & -0.02 x_{30} & +  0.02 x_{20} & +  0.01 x_{19} & -0.46 x_{12} & +  0.02 x_{27} & +  0.02 x_{29} & +  0.10 x_{5} & -0.02 x_{32} & -0.25 x_{2} & -0.29 x_{16} & +  0.18 x_{8} & -0.15 x_{13} & -0.27 x_{1}\\
 x_{3}   &  1.49583745969 & -0.00 x_{31} & +  0.05 x_{4} & +  0.04 x_{25} & -0.05 x_{30} & -0.05 x_{20} & -0.02 x_{19} & +  0.35 x_{12} & +  0.03 x_{27} & +  0.01 x_{29} & -0.19 x_{5} & -0.01 x_{32} & +  0.77 x_{2} & -0.08 x_{16} & +  0.10 x_{8} & -1.03 x_{13} & +  0.21 x_{1}\\
 x_{15}   &  4.25656720176 & +  0.00 x_{31} & -1.17 x_{4} & -0.05 x_{25} & +  0.04 x_{30} & -0.02 x_{20} & -0.09 x_{19} & +  0.29 x_{12} & +  0.04 x_{27} & -0.02 x_{29} & +  0.07 x_{5} & -0.03 x_{32} & -0.19 x_{2} & -0.28 x_{16} & -0.54 x_{8} & -0.19 x_{13} & -0.58 x_{1}\\
 x_{11}   &  0.347828010607 & -0.07 x_{31} & +  1.04 x_{4} & +  0.04 x_{25} & +  0.01 x_{30} & +  0.04 x_{20} & +  0.04 x_{19} & -0.68 x_{12} & -0.09 x_{27} & -0.03 x_{29} & -0.02 x_{5} & -0.03 x_{32} & +  0.41 x_{2} & +  0.50 x_{16} & +  0.45 x_{8} & +  1.29 x_{13} & +  0.23 x_{1}\\
\hline
z    &  62.0935193538 & +  0.23 x_{31} & -20.52 x_{4} & -0.58 x_{25} & +  0.39 x_{30} & -0.62 x_{20} & -0.67 x_{19} & +  2.75 x_{12} & +  0.55 x_{27} & +  0.03 x_{29} & +  0.36 x_{5} & -0.21 x_{32} & +  1.20 x_{2} & -4.65 x_{16} & -3.10 x_{8} & -9.13 x_{13} & -3.28 x_{1}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{26} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  37.6279505314 & -0.65 x_{31} & +  8.27 x_{4} & -0.25 x_{25} & +  0.48 x_{30} & +  0.12 x_{20} & +  0.07 x_{19} & -15.43 x_{12} & -0.04 x_{27} & -0.70 x_{29} & -2.15 x_{5} & +  0.25 x_{32} & -0.24 x_{26} & +  5.53 x_{16} & -22.58 x_{8} & + 10.94 x_{13} & -1.32 x_{1}\\
 x_{10}   &  4.39438989099 & +  0.02 x_{31} & -0.91 x_{4} & +  0.03 x_{25} & +  0.02 x_{30} & -0.05 x_{20} & -0.01 x_{19} & +  0.14 x_{12} & +  0.02 x_{27} & +  0.04 x_{29} & -0.11 x_{5} & -0.02 x_{32} & -0.03 x_{26} & +  0.14 x_{16} & +  0.29 x_{8} & -1.70 x_{13} & +  1.07 x_{1}\\
 x_{7}   &  6.22503782879 & -0.02 x_{31} & -1.29 x_{4} & -0.04 x_{25} & +  0.06 x_{30} & -0.06 x_{20} & -0.06 x_{19} & +  0.42 x_{12} & +  0.01 x_{27} & +  0.01 x_{29} & -0.25 x_{5} & +  0.01 x_{32} & -0.04 x_{26} & +  0.21 x_{16} & -1.00 x_{8} & -0.64 x_{13} & +  0.56 x_{1}\\
 x_{14}   &  1.09794740615 & -0.06 x_{31} & -0.41 x_{4} & +  0.04 x_{25} & +  0.06 x_{30} & +  0.01 x_{20} & +  0.08 x_{19} & -0.93 x_{12} & -0.01 x_{27} & -0.02 x_{29} & -1.09 x_{5} & -0.03 x_{32} & +  0.02 x_{26} & +  1.09 x_{16} & -0.28 x_{8} & +  0.31 x_{13} & +  0.69 x_{1}\\
 x_{6}   &  4.62214575521 & +  0.01 x_{31} & -0.70 x_{4} & -0.04 x_{25} & +  0.02 x_{30} & -0.03 x_{20} & -0.02 x_{19} & +  0.34 x_{12} & -0.00 x_{27} & -0.03 x_{29} & +  0.26 x_{5} & -0.02 x_{32} & -0.02 x_{26} & +  0.24 x_{16} & -0.64 x_{8} & +  0.01 x_{13} & -0.29 x_{1}\\
 x_{22}   &  97.3881066926 & +  0.83 x_{31} & -18.81 x_{4} & -0.62 x_{25} & +  0.52 x_{30} & -1.34 x_{20} & -1.52 x_{19} & + 27.51 x_{12} & +  0.40 x_{27} & +  0.39 x_{29} & +  4.24 x_{5} & +  0.20 x_{32} & -0.98 x_{26} & -2.16 x_{16} & -19.60 x_{8} & -29.12 x_{13} & +  2.80 x_{1}\\
 x_{23}   &  18.8280498642 & +  0.90 x_{31} & + 13.45 x_{4} & +  0.22 x_{25} & -1.15 x_{30} & -0.37 x_{20} & -0.04 x_{19} & +  9.58 x_{12} & +  0.65 x_{27} & +  0.10 x_{29} & + 14.01 x_{5} & +  0.48 x_{32} & +  0.05 x_{26} & +  2.37 x_{16} & -7.88 x_{8} & -18.93 x_{13} & -4.08 x_{1}\\
 x_{18}   &  78.0491201846 & -0.54 x_{31} & -15.83 x_{4} & +  0.58 x_{25} & -0.11 x_{30} & -0.59 x_{20} & +  0.64 x_{19} & +  0.94 x_{12} & -0.12 x_{27} & +  0.19 x_{29} & -13.58 x_{5} & -0.71 x_{32} & +  0.04 x_{26} & + 15.37 x_{16} & -4.23 x_{8} & -18.48 x_{13} & +  8.12 x_{1}\\
 x_{24}   &  75.1875701813 & +  0.17 x_{31} & -12.43 x_{4} & -1.05 x_{25} & +  0.12 x_{30} & -1.00 x_{20} & -1.97 x_{19} & + 21.88 x_{12} & +  0.46 x_{27} & -0.10 x_{29} & +  6.56 x_{5} & +  0.07 x_{32} & -0.74 x_{26} & -11.50 x_{16} & -22.00 x_{8} & -2.14 x_{13} & -9.00 x_{1}\\
 x_{2}   &  2.33819325324 & +  0.01 x_{31} & -0.63 x_{4} & -0.08 x_{25} & +  0.06 x_{30} & +  0.01 x_{20} & -0.06 x_{19} & -0.09 x_{12} & +  0.02 x_{27} & -0.03 x_{29} & +  0.48 x_{5} & +  0.04 x_{32} & -0.07 x_{26} & +  0.19 x_{16} & -1.31 x_{8} & +  0.13 x_{13} & -0.23 x_{1}\\
 x_{21}   &  16.3578357901 & +  0.07 x_{31} & -19.82 x_{4} & -0.48 x_{25} & +  1.24 x_{30} & -0.30 x_{20} & -0.08 x_{19} & -1.25 x_{12} & +  0.63 x_{27} & -0.23 x_{29} & -3.01 x_{5} & +  0.22 x_{32} & -0.03 x_{26} & +  6.74 x_{16} & -21.01 x_{8} & +  2.77 x_{13} & +  4.02 x_{1}\\
 x_{28}   &  60.7923729997 & +  0.69 x_{31} & -17.52 x_{4} & -0.59 x_{25} & +  0.07 x_{30} & -0.30 x_{20} & -1.02 x_{19} & + 11.66 x_{12} & +  0.76 x_{27} & -0.21 x_{29} & +  5.24 x_{5} & +  0.08 x_{32} & +  0.04 x_{26} & -15.40 x_{16} & -10.08 x_{8} & -6.78 x_{13} & -8.89 x_{1}\\
 x_{9}   &  1.95879340967 & -0.01 x_{31} & -0.28 x_{4} & -0.01 x_{25} & -0.03 x_{30} & +  0.02 x_{20} & +  0.02 x_{19} & -0.43 x_{12} & +  0.01 x_{27} & +  0.03 x_{29} & -0.02 x_{5} & -0.03 x_{32} & +  0.02 x_{26} & -0.34 x_{16} & +  0.51 x_{8} & -0.18 x_{13} & -0.22 x_{1}\\
 x_{3}   &  3.2909083553 & +  0.01 x_{31} & -0.44 x_{4} & -0.02 x_{25} & -0.00 x_{30} & -0.04 x_{20} & -0.07 x_{19} & +  0.28 x_{12} & +  0.04 x_{27} & -0.01 x_{29} & +  0.18 x_{5} & +  0.01 x_{32} & -0.05 x_{26} & +  0.07 x_{16} & -0.90 x_{8} & -0.94 x_{13} & +  0.04 x_{1}\\
 x_{15}   &  3.80192331718 & +  0.00 x_{31} & -1.05 x_{4} & -0.04 x_{25} & +  0.03 x_{30} & -0.02 x_{20} & -0.08 x_{19} & +  0.31 x_{12} & +  0.03 x_{27} & -0.02 x_{29} & -0.02 x_{5} & -0.03 x_{32} & +  0.01 x_{26} & -0.32 x_{16} & -0.29 x_{8} & -0.22 x_{13} & -0.53 x_{1}\\
 x_{11}   &  1.31473168275 & -0.07 x_{31} & +  0.78 x_{4} & +  0.01 x_{25} & +  0.03 x_{30} & +  0.04 x_{20} & +  0.01 x_{19} & -0.71 x_{12} & -0.08 x_{27} & -0.05 x_{29} & +  0.18 x_{5} & -0.02 x_{32} & -0.03 x_{26} & +  0.58 x_{16} & -0.09 x_{8} & +  1.34 x_{13} & +  0.13 x_{1}\\
\hline
z    &  64.8890572304 & +  0.24 x_{31} & -21.27 x_{4} & -0.68 x_{25} & +  0.46 x_{30} & -0.60 x_{20} & -0.74 x_{19} & +  2.64 x_{12} & +  0.58 x_{27} & +  0.00 x_{29} & +  0.93 x_{5} & -0.17 x_{32} & -0.08 x_{26} & -4.42 x_{16} & -4.67 x_{8} & -8.97 x_{13} & -3.55 x_{1}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  35.460276709 & -0.53 x_{31} & +  9.07 x_{4} & -0.33 x_{25} & +  0.36 x_{30} & +  0.11 x_{20} & -0.10 x_{19} & -13.59 x_{12} & -0.03 x_{27} & -0.67 x_{29} & +  1.97 x_{14} & +  0.30 x_{32} & -0.29 x_{26} & +  3.37 x_{16} & -22.02 x_{8} & + 10.33 x_{13} & -2.68 x_{1}\\
 x_{10}   &  4.28084092971 & +  0.02 x_{31} & -0.87 x_{4} & +  0.03 x_{25} & +  0.01 x_{30} & -0.05 x_{20} & -0.02 x_{19} & +  0.24 x_{12} & +  0.02 x_{27} & +  0.04 x_{29} & +  0.10 x_{14} & -0.02 x_{32} & -0.04 x_{26} & +  0.03 x_{16} & +  0.32 x_{8} & -1.73 x_{13} & +  1.00 x_{1}\\
 x_{7}   &  5.97377728662 & -0.01 x_{31} & -1.19 x_{4} & -0.05 x_{25} & +  0.04 x_{30} & -0.06 x_{20} & -0.08 x_{19} & +  0.63 x_{12} & +  0.01 x_{27} & +  0.01 x_{29} & +  0.23 x_{14} & +  0.01 x_{32} & -0.04 x_{26} & -0.04 x_{16} & -0.94 x_{8} & -0.71 x_{13} & +  0.40 x_{1}\\
 x_{5}   &  1.01008403274 & -0.05 x_{31} & -0.37 x_{4} & +  0.04 x_{25} & +  0.05 x_{30} & +  0.01 x_{20} & +  0.08 x_{19} & -0.85 x_{12} & -0.01 x_{27} & -0.02 x_{29} & -0.92 x_{14} & -0.02 x_{32} & +  0.02 x_{26} & +  1.01 x_{16} & -0.26 x_{8} & +  0.28 x_{13} & +  0.64 x_{1}\\
 x_{6}   &  4.88131087723 & -0.01 x_{31} & -0.79 x_{4} & -0.03 x_{25} & +  0.03 x_{30} & -0.03 x_{20} & -0.00 x_{19} & +  0.12 x_{12} & -0.00 x_{27} & -0.03 x_{29} & -0.24 x_{14} & -0.03 x_{32} & -0.01 x_{26} & +  0.50 x_{16} & -0.70 x_{8} & +  0.08 x_{13} & -0.13 x_{1}\\
 x_{22}   &  101.673889197 & +  0.61 x_{31} & -20.39 x_{4} & -0.46 x_{25} & +  0.75 x_{30} & -1.31 x_{20} & -1.19 x_{19} & + 23.89 x_{12} & +  0.37 x_{27} & +  0.32 x_{29} & -3.90 x_{14} & +  0.10 x_{32} & -0.88 x_{26} & +  2.11 x_{16} & -20.70 x_{8} & -27.92 x_{13} & +  5.50 x_{1}\\
 x_{23}   &  32.9807122212 & +  0.14 x_{31} & +  8.23 x_{4} & +  0.74 x_{25} & -0.39 x_{30} & -0.28 x_{20} & +  1.05 x_{19} & -2.38 x_{12} & +  0.53 x_{27} & -0.12 x_{29} & -12.89 x_{14} & +  0.15 x_{32} & +  0.37 x_{26} & + 16.48 x_{16} & -11.54 x_{8} & -14.97 x_{13} & +  4.84 x_{1}\\
 x_{18}   &  64.3309707176 & +  0.19 x_{31} & -10.76 x_{4} & +  0.08 x_{25} & -0.84 x_{30} & -0.68 x_{20} & -0.42 x_{19} & + 12.54 x_{12} & +  0.00 x_{27} & +  0.41 x_{29} & + 12.49 x_{14} & -0.40 x_{32} & -0.27 x_{26} & +  1.69 x_{16} & -0.68 x_{8} & -22.32 x_{13} & -0.53 x_{1}\\
 x_{24}   &  81.8174535667 & -0.18 x_{31} & -14.87 x_{4} & -0.80 x_{25} & +  0.47 x_{30} & -0.96 x_{20} & -1.46 x_{19} & + 16.28 x_{12} & +  0.40 x_{27} & -0.21 x_{29} & -6.04 x_{14} & -0.09 x_{32} & -0.60 x_{26} & -4.89 x_{16} & -23.71 x_{8} & -0.28 x_{13} & -4.82 x_{1}\\
 x_{2}   &  2.82159811719 & -0.02 x_{31} & -0.81 x_{4} & -0.06 x_{25} & +  0.09 x_{30} & +  0.01 x_{20} & -0.03 x_{19} & -0.50 x_{12} & +  0.02 x_{27} & -0.03 x_{29} & -0.44 x_{14} & +  0.02 x_{32} & -0.06 x_{26} & +  0.68 x_{16} & -1.44 x_{8} & +  0.26 x_{13} & +  0.08 x_{1}\\
 x_{21}   &  13.32040513 & +  0.23 x_{31} & -18.70 x_{4} & -0.59 x_{25} & +  1.08 x_{30} & -0.32 x_{20} & -0.31 x_{19} & +  1.32 x_{12} & +  0.66 x_{27} & -0.18 x_{29} & +  2.77 x_{14} & +  0.29 x_{32} & -0.10 x_{26} & +  3.71 x_{16} & -20.23 x_{8} & +  1.92 x_{13} & +  2.10 x_{1}\\
 x_{28}   &  66.081278355 & +  0.41 x_{31} & -19.47 x_{4} & -0.40 x_{25} & +  0.35 x_{30} & -0.27 x_{20} & -0.61 x_{19} & +  7.18 x_{12} & +  0.71 x_{27} & -0.29 x_{29} & -4.82 x_{14} & -0.04 x_{32} & +  0.15 x_{26} & -10.12 x_{16} & -11.44 x_{8} & -5.30 x_{13} & -5.55 x_{1}\\
 x_{9}   &  1.93861117916 & -0.01 x_{31} & -0.27 x_{4} & -0.01 x_{25} & -0.03 x_{30} & +  0.02 x_{20} & +  0.02 x_{19} & -0.42 x_{12} & +  0.01 x_{27} & +  0.03 x_{29} & +  0.02 x_{14} & -0.03 x_{32} & +  0.02 x_{26} & -0.36 x_{16} & +  0.51 x_{8} & -0.19 x_{13} & -0.23 x_{1}\\
 x_{3}   &  3.47363933878 & -0.00 x_{31} & -0.50 x_{4} & -0.01 x_{25} & +  0.01 x_{30} & -0.04 x_{20} & -0.05 x_{19} & +  0.13 x_{12} & +  0.04 x_{27} & -0.02 x_{29} & -0.17 x_{14} & +  0.01 x_{32} & -0.05 x_{26} & +  0.25 x_{16} & -0.95 x_{8} & -0.89 x_{13} & +  0.15 x_{1}\\
 x_{15}   &  3.77944438731 & +  0.00 x_{31} & -1.04 x_{4} & -0.04 x_{25} & +  0.03 x_{30} & -0.02 x_{20} & -0.08 x_{19} & +  0.33 x_{12} & +  0.03 x_{27} & -0.02 x_{29} & +  0.02 x_{14} & -0.03 x_{32} & +  0.01 x_{26} & -0.34 x_{16} & -0.28 x_{8} & -0.22 x_{13} & -0.55 x_{1}\\
 x_{11}   &  1.49940170819 & -0.08 x_{31} & +  0.71 x_{4} & +  0.01 x_{25} & +  0.04 x_{30} & +  0.04 x_{20} & +  0.03 x_{19} & -0.87 x_{12} & -0.08 x_{27} & -0.05 x_{29} & -0.17 x_{14} & -0.02 x_{32} & -0.02 x_{26} & +  0.77 x_{16} & -0.14 x_{8} & +  1.39 x_{13} & +  0.25 x_{1}\\
\hline
z    &  65.8302130685 & +  0.19 x_{31} & -21.62 x_{4} & -0.64 x_{25} & +  0.51 x_{30} & -0.60 x_{20} & -0.67 x_{19} & +  1.85 x_{12} & +  0.57 x_{27} & -0.01 x_{29} & -0.86 x_{14} & -0.19 x_{32} & -0.06 x_{26} & -3.48 x_{16} & -4.91 x_{8} & -8.71 x_{13} & -2.96 x_{1}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  19.3825394546 & +  0.33 x_{31} & + 15.01 x_{4} & -0.92 x_{25} & -0.50 x_{30} & +  0.01 x_{20} & -1.33 x_{19} & + 15.92 x_{5} & +  0.12 x_{27} & -0.42 x_{29} & + 16.62 x_{14} & +  0.67 x_{32} & -0.65 x_{26} & -12.66 x_{16} & -17.87 x_{8} & +  5.83 x_{13} & -12.82 x_{1}\\
 x_{10}   &  4.5591910543 & +  0.01 x_{31} & -0.97 x_{4} & +  0.04 x_{25} & +  0.03 x_{30} & -0.05 x_{20} & -0.00 x_{19} & -0.28 x_{5} & +  0.02 x_{27} & +  0.04 x_{29} & -0.15 x_{14} & -0.03 x_{32} & -0.03 x_{26} & +  0.31 x_{16} & +  0.25 x_{8} & -1.65 x_{13} & +  1.17 x_{1}\\
 x_{7}   &  6.71799279035 & -0.05 x_{31} & -1.47 x_{4} & -0.02 x_{25} & +  0.08 x_{30} & -0.06 x_{20} & -0.02 x_{19} & -0.74 x_{5} & +  0.00 x_{27} & +  0.00 x_{29} & -0.45 x_{14} & -0.01 x_{32} & -0.03 x_{26} & +  0.70 x_{16} & -1.13 x_{8} & -0.50 x_{13} & +  0.87 x_{1}\\
 x_{12}   &  1.18280213311 & -0.06 x_{31} & -0.44 x_{4} & +  0.04 x_{25} & +  0.06 x_{30} & +  0.01 x_{20} & +  0.09 x_{19} & -1.17 x_{5} & -0.01 x_{27} & -0.02 x_{29} & -1.08 x_{14} & -0.03 x_{32} & +  0.03 x_{26} & +  1.18 x_{16} & -0.31 x_{8} & +  0.33 x_{13} & +  0.75 x_{1}\\
 x_{6}   &  5.02241252179 & -0.01 x_{31} & -0.85 x_{4} & -0.03 x_{25} & +  0.04 x_{30} & -0.03 x_{20} & +  0.01 x_{19} & -0.14 x_{5} & -0.01 x_{27} & -0.03 x_{29} & -0.36 x_{14} & -0.03 x_{32} & -0.01 x_{26} & +  0.64 x_{16} & -0.74 x_{8} & +  0.12 x_{13} & -0.04 x_{1}\\
 x_{22}   &  129.931972244 & -0.91 x_{31} & -30.83 x_{4} & +  0.58 x_{25} & +  2.26 x_{30} & -1.14 x_{20} & +  0.98 x_{19} & -27.98 x_{5} & +  0.11 x_{27} & -0.13 x_{29} & -29.64 x_{14} & -0.55 x_{32} & -0.26 x_{26} & + 30.29 x_{16} & -28.01 x_{8} & -20.00 x_{13} & + 23.33 x_{1}\\
 x_{23}   &  30.1646072572 & +  0.29 x_{31} & +  9.27 x_{4} & +  0.64 x_{25} & -0.54 x_{30} & -0.30 x_{20} & +  0.83 x_{19} & +  2.79 x_{5} & +  0.55 x_{27} & -0.08 x_{29} & -10.33 x_{14} & +  0.22 x_{32} & +  0.30 x_{26} & + 13.67 x_{16} & -10.81 x_{8} & -15.75 x_{13} & +  3.07 x_{1}\\
 x_{18}   &  79.1659114049 & -0.60 x_{31} & -16.24 x_{4} & +  0.63 x_{25} & -0.05 x_{30} & -0.58 x_{20} & +  0.72 x_{19} & -14.69 x_{5} & -0.13 x_{27} & +  0.18 x_{29} & -1.02 x_{14} & -0.74 x_{32} & +  0.06 x_{26} & + 16.48 x_{16} & -4.51 x_{8} & -18.17 x_{13} & +  8.82 x_{1}\\
 x_{24}   &  101.068661896 & -1.21 x_{31} & -21.98 x_{4} & -0.09 x_{25} & +  1.51 x_{30} & -0.84 x_{20} & +  0.02 x_{19} & -19.06 x_{5} & +  0.23 x_{27} & -0.51 x_{29} & -23.57 x_{14} & -0.53 x_{32} & -0.17 x_{26} & + 14.31 x_{16} & -28.69 x_{8} & +  5.11 x_{13} & +  7.32 x_{1}\\
 x_{2}   &  2.22985588947 & +  0.02 x_{31} & -0.59 x_{4} & -0.08 x_{25} & +  0.05 x_{30} & +  0.01 x_{20} & -0.07 x_{19} & +  0.59 x_{5} & +  0.02 x_{27} & -0.02 x_{29} & +  0.10 x_{14} & +  0.04 x_{32} & -0.07 x_{26} & +  0.09 x_{16} & -1.28 x_{8} & +  0.10 x_{13} & -0.30 x_{1}\\
 x_{21}   &  14.8830518646 & +  0.15 x_{31} & -19.27 x_{4} & -0.53 x_{25} & +  1.16 x_{30} & -0.31 x_{20} & -0.19 x_{19} & -1.55 x_{5} & +  0.64 x_{27} & -0.21 x_{29} & +  1.34 x_{14} & +  0.26 x_{32} & -0.06 x_{26} & +  5.27 x_{16} & -20.63 x_{8} & +  2.36 x_{13} & +  3.09 x_{1}\\
 x_{28}   &  74.5790665197 & -0.04 x_{31} & -22.61 x_{4} & -0.08 x_{25} & +  0.81 x_{30} & -0.22 x_{20} & +  0.04 x_{19} & -8.41 x_{5} & +  0.63 x_{27} & -0.43 x_{29} & -12.56 x_{14} & -0.23 x_{32} & +  0.34 x_{26} & -1.65 x_{16} & -13.64 x_{8} & -2.92 x_{13} & -0.19 x_{1}\\
 x_{9}   &  1.44514888764 & +  0.02 x_{31} & -0.09 x_{4} & -0.03 x_{25} & -0.06 x_{30} & +  0.01 x_{20} & -0.02 x_{19} & +  0.49 x_{5} & +  0.02 x_{27} & +  0.04 x_{29} & +  0.47 x_{14} & -0.01 x_{32} & +  0.01 x_{26} & -0.85 x_{16} & +  0.64 x_{8} & -0.33 x_{13} & -0.54 x_{1}\\
 x_{3}   &  3.62432353715 & -0.01 x_{31} & -0.56 x_{4} & -0.01 x_{25} & +  0.01 x_{30} & -0.04 x_{20} & -0.04 x_{19} & -0.15 x_{5} & +  0.04 x_{27} & -0.02 x_{29} & -0.30 x_{14} & +  0.01 x_{32} & -0.04 x_{26} & +  0.41 x_{16} & -0.99 x_{8} & -0.84 x_{13} & +  0.25 x_{1}\\
 x_{15}   &  4.16681639652 & -0.02 x_{31} & -1.18 x_{4} & -0.02 x_{25} & +  0.05 x_{30} & -0.02 x_{20} & -0.05 x_{19} & -0.38 x_{5} & +  0.03 x_{27} & -0.03 x_{29} & -0.33 x_{14} & -0.04 x_{32} & +  0.02 x_{26} & +  0.04 x_{16} & -0.38 x_{8} & -0.11 x_{13} & -0.30 x_{1}\\
 x_{11}   &  0.470479752313 & -0.02 x_{31} & +  1.09 x_{4} & -0.03 x_{25} & -0.01 x_{30} & +  0.04 x_{20} & -0.05 x_{19} & +  1.02 x_{5} & -0.07 x_{27} & -0.03 x_{29} & +  0.77 x_{14} & +  0.00 x_{32} & -0.05 x_{26} & -0.26 x_{16} & +  0.12 x_{8} & +  1.10 x_{13} & -0.40 x_{1}\\
\hline
z    &  68.0150455884 & +  0.07 x_{31} & -22.42 x_{4} & -0.56 x_{25} & +  0.63 x_{30} & -0.58 x_{20} & -0.50 x_{19} & -2.16 x_{5} & +  0.55 x_{27} & -0.05 x_{29} & -2.85 x_{14} & -0.24 x_{32} & -0.01 x_{26} & -1.30 x_{16} & -5.48 x_{8} & -8.10 x_{13} & -1.58 x_{1}\\
\end{array}\]


 $ x_{27} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  20.1711202657 & +  0.29 x_{31} & + 16.84 x_{4} & -0.96 x_{25} & -0.52 x_{30} & +  0.07 x_{20} & -1.42 x_{19} & + 17.62 x_{5} & -1.68 x_{11} & -0.47 x_{29} & + 17.91 x_{14} & +  0.67 x_{32} & -0.72 x_{26} & -13.10 x_{16} & -17.66 x_{8} & +  7.68 x_{13} & -13.50 x_{1}\\
 x_{10}   &  4.69356830414 & +  0.00 x_{31} & -0.66 x_{4} & +  0.03 x_{25} & +  0.02 x_{30} & -0.03 x_{20} & -0.02 x_{19} & +  0.02 x_{5} & -0.29 x_{11} & +  0.03 x_{29} & +  0.07 x_{14} & -0.03 x_{32} & -0.04 x_{26} & +  0.23 x_{16} & +  0.29 x_{8} & -1.34 x_{13} & +  1.06 x_{1}\\
 x_{7}   &  6.72376816932 & -0.05 x_{31} & -1.45 x_{4} & -0.02 x_{25} & +  0.08 x_{30} & -0.06 x_{20} & -0.02 x_{19} & -0.72 x_{5} & -0.01 x_{11} & -0.00 x_{29} & -0.44 x_{14} & -0.01 x_{32} & -0.03 x_{26} & +  0.69 x_{16} & -1.13 x_{8} & -0.48 x_{13} & +  0.87 x_{1}\\
 x_{12}   &  1.11252346901 & -0.06 x_{31} & -0.60 x_{4} & +  0.05 x_{25} & +  0.07 x_{30} & +  0.00 x_{20} & +  0.10 x_{19} & -1.32 x_{5} & +  0.15 x_{11} & -0.01 x_{29} & -1.19 x_{14} & -0.03 x_{32} & +  0.03 x_{26} & +  1.22 x_{16} & -0.32 x_{8} & +  0.17 x_{13} & +  0.81 x_{1}\\
 x_{6}   &  4.98616837432 & -0.01 x_{31} & -0.93 x_{4} & -0.02 x_{25} & +  0.04 x_{30} & -0.03 x_{20} & +  0.01 x_{19} & -0.22 x_{5} & +  0.08 x_{11} & -0.03 x_{29} & -0.42 x_{14} & -0.03 x_{32} & -0.01 x_{26} & +  0.66 x_{16} & -0.75 x_{8} & +  0.03 x_{13} & -0.01 x_{1}\\
 x_{22}   &  130.655125846 & -0.94 x_{31} & -29.15 x_{4} & +  0.54 x_{25} & +  2.24 x_{30} & -1.08 x_{20} & +  0.90 x_{19} & -26.41 x_{5} & -1.54 x_{11} & -0.18 x_{29} & -28.46 x_{14} & -0.55 x_{32} & -0.33 x_{26} & + 29.89 x_{16} & -27.81 x_{8} & -18.30 x_{13} & + 22.71 x_{1}\\
 x_{23}   &  33.7860309888 & +  0.11 x_{31} & + 17.66 x_{4} & +  0.44 x_{25} & -0.63 x_{30} & -0.01 x_{20} & +  0.44 x_{19} & + 10.63 x_{5} & -7.70 x_{11} & -0.32 x_{29} & -4.41 x_{14} & +  0.24 x_{32} & -0.06 x_{26} & + 11.67 x_{16} & -9.85 x_{8} & -7.26 x_{13} & -0.03 x_{1}\\
 x_{18}   &  78.2965163543 & -0.56 x_{31} & -18.26 x_{4} & +  0.67 x_{25} & -0.02 x_{30} & -0.65 x_{20} & +  0.82 x_{19} & -16.57 x_{5} & +  1.85 x_{11} & +  0.23 x_{29} & -2.44 x_{14} & -0.74 x_{32} & +  0.15 x_{26} & + 16.96 x_{16} & -4.75 x_{8} & -20.21 x_{13} & +  9.57 x_{1}\\
 x_{24}   &  102.550320759 & -1.28 x_{31} & -18.55 x_{4} & -0.17 x_{25} & +  1.47 x_{30} & -0.72 x_{20} & -0.14 x_{19} & -15.85 x_{5} & -3.15 x_{11} & -0.61 x_{29} & -21.15 x_{14} & -0.52 x_{32} & -0.32 x_{26} & + 13.50 x_{16} & -28.29 x_{8} & +  8.59 x_{13} & +  6.06 x_{1}\\
 x_{2}   &  2.37727856061 & +  0.01 x_{31} & -0.25 x_{4} & -0.09 x_{25} & +  0.05 x_{30} & +  0.02 x_{20} & -0.09 x_{19} & +  0.91 x_{5} & -0.31 x_{11} & -0.03 x_{29} & +  0.34 x_{14} & +  0.04 x_{32} & -0.09 x_{26} & +  0.00 x_{16} & -1.24 x_{8} & +  0.44 x_{13} & -0.42 x_{1}\\
 x_{21}   &  19.1110563522 & -0.06 x_{31} & -9.47 x_{4} & -0.76 x_{25} & +  1.06 x_{30} & +  0.02 x_{20} & -0.65 x_{19} & +  7.61 x_{5} & -8.99 x_{11} & -0.49 x_{29} & +  8.25 x_{14} & +  0.29 x_{32} & -0.48 x_{26} & +  2.93 x_{16} & -19.51 x_{8} & + 12.28 x_{13} & -0.52 x_{1}\\
 x_{28}   &  78.7383955668 & -0.25 x_{31} & -12.97 x_{4} & -0.31 x_{25} & +  0.70 x_{30} & +  0.12 x_{20} & -0.41 x_{19} & +  0.59 x_{5} & -8.84 x_{11} & -0.71 x_{29} & -5.76 x_{14} & -0.20 x_{32} & -0.07 x_{26} & -3.94 x_{16} & -12.54 x_{8} & +  6.84 x_{13} & -3.74 x_{1}\\
 x_{9}   &  1.57030350067 & +  0.02 x_{31} & +  0.20 x_{4} & -0.03 x_{25} & -0.06 x_{30} & +  0.02 x_{20} & -0.03 x_{19} & +  0.76 x_{5} & -0.27 x_{11} & +  0.03 x_{29} & +  0.67 x_{14} & -0.01 x_{32} & -0.01 x_{26} & -0.92 x_{16} & +  0.67 x_{8} & -0.03 x_{13} & -0.65 x_{1}\\
 x_{3}   &  3.89914128805 & -0.03 x_{31} & +  0.08 x_{4} & -0.02 x_{25} & +  0.01 x_{30} & -0.02 x_{20} & -0.07 x_{19} & +  0.45 x_{5} & -0.58 x_{11} & -0.04 x_{29} & +  0.15 x_{14} & +  0.01 x_{32} & -0.07 x_{26} & +  0.25 x_{16} & -0.92 x_{8} & -0.20 x_{13} & +  0.01 x_{1}\\
 x_{15}   &  4.36877417438 & -0.03 x_{31} & -0.71 x_{4} & -0.03 x_{25} & +  0.05 x_{30} & -0.00 x_{20} & -0.07 x_{19} & +  0.05 x_{5} & -0.43 x_{11} & -0.04 x_{29} & -0.00 x_{14} & -0.04 x_{32} & +  0.00 x_{26} & -0.07 x_{16} & -0.33 x_{8} & +  0.36 x_{13} & -0.48 x_{1}\\
 x_{27}   &  6.57308391086 & -0.32 x_{31} & + 15.24 x_{4} & -0.36 x_{25} & -0.16 x_{30} & +  0.52 x_{20} & -0.71 x_{19} & + 14.23 x_{5} & -13.97 x_{11} & -0.45 x_{29} & + 10.74 x_{14} & +  0.05 x_{32} & -0.65 x_{26} & -3.63 x_{16} & +  1.75 x_{8} & + 15.42 x_{13} & -5.61 x_{1}\\
\hline
z    &  71.6454108786 & -0.11 x_{31} & -14.01 x_{4} & -0.76 x_{25} & +  0.54 x_{30} & -0.29 x_{20} & -0.90 x_{19} & +  5.70 x_{5} & -7.72 x_{11} & -0.29 x_{29} & +  3.09 x_{14} & -0.21 x_{32} & -0.37 x_{26} & -3.31 x_{16} & -4.51 x_{8} & +  0.42 x_{13} & -4.68 x_{1}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  34.9900726931 & -0.51 x_{31} & +  8.85 x_{4} & -0.33 x_{25} & +  0.35 x_{30} & +  0.10 x_{20} & -0.10 x_{19} & -13.32 x_{12} & +  0.31 x_{11} & -0.65 x_{29} & +  2.03 x_{14} & +  0.30 x_{32} & -0.28 x_{26} & +  3.13 x_{16} & -21.98 x_{8} & +  9.90 x_{13} & -2.76 x_{1}\\
 x_{10}   &  4.70649405551 & +  0.00 x_{31} & -0.66 x_{4} & +  0.03 x_{25} & +  0.02 x_{30} & -0.03 x_{20} & -0.02 x_{19} & -0.01 x_{12} & -0.28 x_{11} & +  0.03 x_{29} & +  0.06 x_{14} & -0.03 x_{32} & -0.04 x_{26} & +  0.25 x_{16} & +  0.28 x_{8} & -1.34 x_{13} & +  1.07 x_{1}\\
 x_{7}   &  6.11478496473 & -0.02 x_{31} & -1.13 x_{4} & -0.05 x_{25} & +  0.05 x_{30} & -0.06 x_{20} & -0.07 x_{19} & +  0.55 x_{12} & -0.09 x_{11} & +  0.01 x_{29} & +  0.21 x_{14} & +  0.01 x_{32} & -0.05 x_{26} & +  0.03 x_{16} & -0.95 x_{8} & -0.58 x_{13} & +  0.43 x_{1}\\
 x_{5}   &  0.840810354571 & -0.05 x_{31} & -0.45 x_{4} & +  0.04 x_{25} & +  0.05 x_{30} & +  0.00 x_{20} & +  0.07 x_{19} & -0.76 x_{12} & +  0.11 x_{11} & -0.01 x_{29} & -0.90 x_{14} & -0.02 x_{32} & +  0.03 x_{26} & +  0.92 x_{16} & -0.25 x_{8} & +  0.13 x_{13} & +  0.61 x_{1}\\
 x_{6}   &  4.80273191597 & -0.00 x_{31} & -0.83 x_{4} & -0.03 x_{25} & +  0.03 x_{30} & -0.03 x_{20} & -0.00 x_{19} & +  0.16 x_{12} & +  0.05 x_{11} & -0.03 x_{29} & -0.23 x_{14} & -0.03 x_{32} & -0.01 x_{26} & +  0.46 x_{16} & -0.70 x_{8} & +  0.01 x_{13} & -0.14 x_{1}\\
 x_{22}   &  108.44911349 & +  0.25 x_{31} & -17.18 x_{4} & -0.41 x_{25} & +  0.94 x_{30} & -1.12 x_{20} & -1.07 x_{19} & + 19.96 x_{12} & -4.52 x_{11} & +  0.10 x_{29} & -4.66 x_{14} & +  0.01 x_{32} & -0.99 x_{26} & +  5.57 x_{16} & -21.34 x_{8} & -21.63 x_{13} & +  6.62 x_{1}\\
 x_{23}   &  42.7228732308 & -0.37 x_{31} & + 12.85 x_{4} & +  0.82 x_{25} & -0.11 x_{30} & +  0.00 x_{20} & +  1.23 x_{19} & -8.03 x_{12} & -6.50 x_{11} & -0.44 x_{29} & -13.98 x_{14} & +  0.02 x_{32} & +  0.21 x_{26} & + 21.46 x_{16} & -12.46 x_{8} & -5.92 x_{13} & +  6.45 x_{1}\\
 x_{18}   &  64.364968579 & +  0.19 x_{31} & -10.75 x_{4} & +  0.08 x_{25} & -0.84 x_{30} & -0.68 x_{20} & -0.42 x_{19} & + 12.52 x_{12} & -0.02 x_{11} & +  0.41 x_{29} & + 12.49 x_{14} & -0.40 x_{32} & -0.27 x_{26} & +  1.71 x_{16} & -0.68 x_{8} & -22.29 x_{13} & -0.53 x_{1}\\
 x_{24}   &  89.2226085614 & -0.56 x_{31} & -11.36 x_{4} & -0.74 x_{25} & +  0.69 x_{30} & -0.74 x_{20} & -1.32 x_{19} & + 11.98 x_{12} & -4.94 x_{11} & -0.45 x_{29} & -6.87 x_{14} & -0.19 x_{32} & -0.71 x_{26} & -1.10 x_{16} & -24.41 x_{8} & +  6.59 x_{13} & -3.60 x_{1}\\
 x_{2}   &  3.13823203498 & -0.03 x_{31} & -0.66 x_{4} & -0.06 x_{25} & +  0.09 x_{30} & +  0.02 x_{20} & -0.02 x_{19} & -0.68 x_{12} & -0.21 x_{11} & -0.04 x_{29} & -0.48 x_{14} & +  0.02 x_{32} & -0.06 x_{26} & +  0.84 x_{16} & -1.47 x_{8} & +  0.56 x_{13} & +  0.13 x_{1}\\
 x_{21}   &  25.5072128562 & -0.40 x_{31} & -12.92 x_{4} & -0.49 x_{25} & +  1.43 x_{30} & +  0.03 x_{20} & -0.08 x_{19} & -5.75 x_{12} & -8.13 x_{11} & -0.57 x_{29} & +  1.40 x_{14} & +  0.13 x_{32} & -0.29 x_{26} & +  9.94 x_{16} & -21.38 x_{8} & + 13.24 x_{13} & +  4.11 x_{1}\\
 x_{28}   &  79.2366065523 & -0.27 x_{31} & -13.24 x_{4} & -0.29 x_{25} & +  0.73 x_{30} & +  0.12 x_{20} & -0.37 x_{19} & -0.45 x_{12} & -8.77 x_{11} & -0.72 x_{29} & -6.29 x_{14} & -0.22 x_{32} & -0.06 x_{26} & -3.40 x_{16} & -12.68 x_{8} & +  6.92 x_{13} & -3.38 x_{1}\\
 x_{9}   &  2.20890896669 & -0.02 x_{31} & -0.14 x_{4} & -0.01 x_{25} & -0.03 x_{30} & +  0.03 x_{20} & +  0.03 x_{19} & -0.57 x_{12} & -0.18 x_{11} & +  0.02 x_{29} & -0.01 x_{14} & -0.03 x_{32} & +  0.01 x_{26} & -0.22 x_{16} & +  0.48 x_{8} & +  0.06 x_{13} & -0.19 x_{1}\\
 x_{3}   &  4.27400507522 & -0.05 x_{31} & -0.12 x_{4} & -0.01 x_{25} & +  0.03 x_{30} & -0.02 x_{20} & -0.04 x_{19} & -0.34 x_{12} & -0.53 x_{11} & -0.04 x_{29} & -0.26 x_{14} & -0.00 x_{32} & -0.06 x_{26} & +  0.66 x_{16} & -1.03 x_{8} & -0.14 x_{13} & +  0.28 x_{1}\\
 x_{15}   &  4.41397624169 & -0.03 x_{31} & -0.74 x_{4} & -0.03 x_{25} & +  0.05 x_{30} & -0.00 x_{20} & -0.07 x_{19} & -0.04 x_{12} & -0.42 x_{11} & -0.04 x_{29} & -0.05 x_{14} & -0.04 x_{32} & +  0.00 x_{26} & -0.02 x_{16} & -0.34 x_{8} & +  0.37 x_{13} & -0.44 x_{1}\\
 x_{27}   &  18.5391450857 & -0.96 x_{31} & +  8.79 x_{4} & +  0.15 x_{25} & +  0.54 x_{30} & +  0.54 x_{20} & +  0.35 x_{19} & -10.76 x_{12} & -12.36 x_{11} & -0.60 x_{29} & -2.08 x_{14} & -0.25 x_{32} & -0.30 x_{26} & +  9.47 x_{16} & -1.74 x_{8} & + 17.22 x_{13} & +  3.06 x_{1}\\
\hline
z    &  76.4356693178 & -0.36 x_{31} & -16.59 x_{4} & -0.55 x_{25} & +  0.82 x_{30} & -0.29 x_{20} & -0.47 x_{19} & -4.31 x_{12} & -7.07 x_{11} & -0.35 x_{29} & -2.05 x_{14} & -0.33 x_{32} & -0.23 x_{26} & +  1.94 x_{16} & -5.91 x_{8} & +  1.14 x_{13} & -1.21 x_{1}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{18} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  63.5608138938 & -0.42 x_{31} & +  4.08 x_{4} & -0.30 x_{25} & -0.03 x_{30} & -0.20 x_{20} & -0.29 x_{19} & -7.76 x_{12} & +  0.30 x_{11} & -0.47 x_{29} & +  7.57 x_{14} & +  0.13 x_{32} & -0.40 x_{26} & +  3.89 x_{16} & -22.28 x_{8} & -0.44 x_{18} & -3.00 x_{1}\\
 x_{10}   &  0.850872744082 & -0.01 x_{31} & -0.02 x_{4} & +  0.03 x_{25} & +  0.07 x_{30} & +  0.01 x_{20} & +  0.01 x_{19} & -0.76 x_{12} & -0.28 x_{11} & +  0.00 x_{29} & -0.69 x_{14} & -0.00 x_{32} & -0.03 x_{26} & +  0.14 x_{16} & +  0.32 x_{8} & +  0.06 x_{18} & +  1.10 x_{1}\\
 x_{7}   &  4.45222921112 & -0.02 x_{31} & -0.85 x_{4} & -0.05 x_{25} & +  0.07 x_{30} & -0.04 x_{20} & -0.06 x_{19} & +  0.22 x_{12} & -0.09 x_{11} & -0.00 x_{29} & -0.11 x_{14} & +  0.02 x_{32} & -0.04 x_{26} & -0.02 x_{16} & -0.94 x_{8} & +  0.03 x_{18} & +  0.44 x_{1}\\
 x_{5}   &  1.20434981558 & -0.04 x_{31} & -0.51 x_{4} & +  0.04 x_{25} & +  0.04 x_{30} & -0.00 x_{20} & +  0.07 x_{19} & -0.69 x_{12} & +  0.11 x_{11} & -0.01 x_{29} & -0.83 x_{14} & -0.02 x_{32} & +  0.02 x_{26} & +  0.93 x_{16} & -0.25 x_{8} & -0.01 x_{18} & +  0.61 x_{1}\\
 x_{6}   &  4.82260477803 & -0.00 x_{31} & -0.83 x_{4} & -0.03 x_{25} & +  0.03 x_{30} & -0.03 x_{20} & -0.00 x_{19} & +  0.17 x_{12} & +  0.05 x_{11} & -0.03 x_{29} & -0.22 x_{14} & -0.03 x_{32} & -0.01 x_{26} & +  0.46 x_{16} & -0.70 x_{8} & -0.00 x_{18} & -0.14 x_{1}\\
 x_{22}   &  45.9987963642 & +  0.07 x_{31} & -6.75 x_{4} & -0.48 x_{25} & +  1.76 x_{30} & -0.46 x_{20} & -0.67 x_{19} & +  7.81 x_{12} & -4.50 x_{11} & -0.30 x_{29} & -16.78 x_{14} & +  0.39 x_{32} & -0.73 x_{26} & +  3.92 x_{16} & -20.68 x_{8} & +  0.97 x_{18} & +  7.13 x_{1}\\
 x_{23}   &  25.635556514 & -0.42 x_{31} & + 15.70 x_{4} & +  0.80 x_{25} & +  0.12 x_{30} & +  0.18 x_{20} & +  1.34 x_{19} & -11.36 x_{12} & -6.49 x_{11} & -0.54 x_{29} & -17.30 x_{14} & +  0.13 x_{32} & +  0.28 x_{26} & + 21.01 x_{16} & -12.27 x_{8} & +  0.27 x_{18} & +  6.59 x_{1}\\
 x_{13}   &  2.88728448584 & +  0.01 x_{31} & -0.48 x_{4} & +  0.00 x_{25} & -0.04 x_{30} & -0.03 x_{20} & -0.02 x_{19} & +  0.56 x_{12} & -0.00 x_{11} & +  0.02 x_{29} & +  0.56 x_{14} & -0.02 x_{32} & -0.01 x_{26} & +  0.08 x_{16} & -0.03 x_{8} & -0.04 x_{18} & -0.02 x_{1}\\
 x_{24}   &  108.25681354 & -0.51 x_{31} & -14.54 x_{4} & -0.72 x_{25} & +  0.44 x_{30} & -0.94 x_{20} & -1.45 x_{19} & + 15.68 x_{12} & -4.95 x_{11} & -0.33 x_{29} & -3.18 x_{14} & -0.30 x_{32} & -0.79 x_{26} & -0.60 x_{16} & -24.61 x_{8} & -0.30 x_{18} & -3.75 x_{1}\\
 x_{2}   &  4.74439622656 & -0.03 x_{31} & -0.93 x_{4} & -0.06 x_{25} & +  0.07 x_{30} & +  0.01 x_{20} & -0.03 x_{19} & -0.37 x_{12} & -0.21 x_{11} & -0.03 x_{29} & -0.16 x_{14} & +  0.01 x_{32} & -0.07 x_{26} & +  0.88 x_{16} & -1.48 x_{8} & -0.02 x_{18} & +  0.12 x_{1}\\
 x_{21}   &  63.7361854135 & -0.29 x_{31} & -19.30 x_{4} & -0.44 x_{25} & +  0.93 x_{30} & -0.37 x_{20} & -0.33 x_{19} & +  1.69 x_{12} & -8.14 x_{11} & -0.33 x_{29} & +  8.82 x_{14} & -0.11 x_{32} & -0.45 x_{26} & + 10.95 x_{16} & -21.78 x_{8} & -0.59 x_{18} & +  3.80 x_{1}\\
 x_{28}   &  99.213456889 & -0.21 x_{31} & -16.57 x_{4} & -0.26 x_{25} & +  0.47 x_{30} & -0.09 x_{20} & -0.49 x_{19} & +  3.44 x_{12} & -8.78 x_{11} & -0.59 x_{29} & -2.42 x_{14} & -0.34 x_{32} & -0.14 x_{26} & -2.87 x_{16} & -12.89 x_{8} & -0.31 x_{18} & -3.54 x_{1}\\
 x_{9}   &  2.39456168254 & -0.02 x_{31} & -0.17 x_{4} & -0.01 x_{25} & -0.03 x_{30} & +  0.02 x_{20} & +  0.02 x_{19} & -0.54 x_{12} & -0.18 x_{11} & +  0.02 x_{29} & +  0.02 x_{14} & -0.03 x_{32} & +  0.01 x_{26} & -0.21 x_{16} & +  0.48 x_{8} & -0.00 x_{18} & -0.19 x_{1}\\
 x_{3}   &  3.86079509528 & -0.05 x_{31} & -0.06 x_{4} & -0.01 x_{25} & +  0.03 x_{30} & -0.01 x_{20} & -0.03 x_{19} & -0.42 x_{12} & -0.53 x_{11} & -0.05 x_{29} & -0.34 x_{14} & +  0.00 x_{32} & -0.06 x_{26} & +  0.65 x_{16} & -1.02 x_{8} & +  0.01 x_{18} & +  0.29 x_{1}\\
 x_{15}   &  5.47372452868 & -0.03 x_{31} & -0.91 x_{4} & -0.03 x_{25} & +  0.03 x_{30} & -0.01 x_{20} & -0.07 x_{19} & +  0.17 x_{12} & -0.42 x_{11} & -0.03 x_{29} & +  0.15 x_{14} & -0.05 x_{32} & -0.00 x_{26} & +  0.01 x_{16} & -0.35 x_{8} & -0.02 x_{18} & -0.45 x_{1}\\
 x_{27}   &  68.2479806024 & -0.82 x_{31} & +  0.49 x_{4} & +  0.22 x_{25} & -0.11 x_{30} & +  0.02 x_{20} & +  0.03 x_{19} & -1.08 x_{12} & -12.38 x_{11} & -0.28 x_{29} & +  7.57 x_{14} & -0.56 x_{32} & -0.50 x_{26} & + 10.79 x_{16} & -2.27 x_{8} & -0.77 x_{18} & +  2.65 x_{1}\\
\hline
z    &  79.7218220496 & -0.35 x_{31} & -17.14 x_{4} & -0.55 x_{25} & +  0.78 x_{30} & -0.32 x_{20} & -0.50 x_{19} & -3.67 x_{12} & -7.07 x_{11} & -0.33 x_{29} & -1.41 x_{14} & -0.35 x_{32} & -0.24 x_{26} & +  2.03 x_{16} & -5.94 x_{8} & -0.05 x_{18} & -1.23 x_{1}\\
\end{array}\]


 $ x_{16} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  107.022834936 & -0.76 x_{31} & +  0.94 x_{4} & -0.41 x_{25} & -0.53 x_{30} & +  0.23 x_{20} & +  0.14 x_{19} & -17.52 x_{12} & -2.97 x_{11} & -0.09 x_{29} & +  8.01 x_{14} & -0.44 x_{32} & -0.20 x_{26} & -18.15 x_{9} & -13.52 x_{8} & -0.50 x_{18} & -6.40 x_{1}\\
 x_{10}   &  2.45385768726 & -0.02 x_{31} & -0.14 x_{4} & +  0.02 x_{25} & +  0.06 x_{30} & +  0.02 x_{20} & +  0.03 x_{19} & -1.12 x_{12} & -0.40 x_{11} & +  0.02 x_{29} & -0.68 x_{14} & -0.03 x_{32} & -0.02 x_{26} & -0.67 x_{9} & +  0.65 x_{8} & +  0.06 x_{18} & +  0.97 x_{1}\\
 x_{7}   &  4.27233434726 & -0.02 x_{31} & -0.84 x_{4} & -0.05 x_{25} & +  0.07 x_{30} & -0.04 x_{20} & -0.07 x_{19} & +  0.26 x_{12} & -0.08 x_{11} & -0.00 x_{29} & -0.11 x_{14} & +  0.02 x_{32} & -0.04 x_{26} & +  0.08 x_{9} & -0.97 x_{8} & +  0.03 x_{18} & +  0.45 x_{1}\\
 x_{5}   &  11.6073898611 & -0.12 x_{31} & -1.26 x_{4} & +  0.01 x_{25} & -0.08 x_{30} & +  0.10 x_{20} & +  0.18 x_{19} & -3.02 x_{12} & -0.67 x_{11} & +  0.08 x_{29} & -0.73 x_{14} & -0.16 x_{32} & +  0.07 x_{26} & -4.34 x_{9} & +  1.85 x_{8} & -0.02 x_{18} & -0.21 x_{1}\\
 x_{6}   &  9.94002840522 & -0.04 x_{31} & -1.20 x_{4} & -0.05 x_{25} & -0.03 x_{30} & +  0.02 x_{20} & +  0.05 x_{19} & -0.98 x_{12} & -0.33 x_{11} & +  0.02 x_{29} & -0.17 x_{14} & -0.09 x_{32} & +  0.01 x_{26} & -2.14 x_{9} & +  0.34 x_{8} & -0.01 x_{18} & -0.54 x_{1}\\
 x_{22}   &  89.7992992147 & -0.27 x_{31} & -9.92 x_{4} & -0.60 x_{25} & +  1.25 x_{30} & -0.02 x_{20} & -0.23 x_{19} & -2.03 x_{12} & -7.80 x_{11} & +  0.09 x_{29} & -16.34 x_{14} & -0.18 x_{32} & -0.53 x_{26} & -18.29 x_{9} & -11.85 x_{8} & +  0.92 x_{18} & +  3.70 x_{1}\\
 x_{23}   &  260.496594267 & -2.24 x_{31} & -1.25 x_{4} & +  0.17 x_{25} & -2.61 x_{30} & +  2.54 x_{20} & +  3.68 x_{19} & -64.11 x_{12} & -24.18 x_{11} & +  1.55 x_{29} & -14.94 x_{14} & -2.92 x_{32} & +  1.39 x_{26} & -98.08 x_{9} & + 35.08 x_{8} & -0.02 x_{18} & -11.82 x_{1}\\
 x_{13}   &  3.74249733119 & +  0.00 x_{31} & -0.54 x_{4} & +  0.00 x_{25} & -0.05 x_{30} & -0.02 x_{20} & -0.01 x_{19} & +  0.37 x_{12} & -0.07 x_{11} & +  0.03 x_{29} & +  0.57 x_{14} & -0.03 x_{32} & -0.01 x_{26} & -0.36 x_{9} & +  0.14 x_{8} & -0.05 x_{18} & -0.09 x_{1}\\
 x_{24}   &  101.58260879 & -0.46 x_{31} & -14.06 x_{4} & -0.70 x_{25} & +  0.52 x_{30} & -1.01 x_{20} & -1.51 x_{19} & + 17.18 x_{12} & -4.44 x_{11} & -0.39 x_{29} & -3.24 x_{14} & -0.22 x_{32} & -0.83 x_{26} & +  2.79 x_{9} & -25.96 x_{8} & -0.29 x_{18} & -3.23 x_{1}\\
 x_{2}   &  14.5886071781 & -0.10 x_{31} & -1.64 x_{4} & -0.08 x_{25} & -0.04 x_{30} & +  0.11 x_{20} & +  0.07 x_{19} & -2.58 x_{12} & -0.95 x_{11} & +  0.05 x_{29} & -0.07 x_{14} & -0.12 x_{32} & -0.02 x_{26} & -4.11 x_{9} & +  0.50 x_{8} & -0.04 x_{18} & -0.66 x_{1}\\
 x_{21}   &  186.161712286 & -1.24 x_{31} & -28.14 x_{4} & -0.77 x_{25} & -0.49 x_{30} & +  0.86 x_{20} & +  0.89 x_{19} & -25.81 x_{12} & -17.36 x_{11} & +  0.76 x_{29} & + 10.05 x_{14} & -1.69 x_{32} & +  0.13 x_{26} & -51.13 x_{9} & +  2.90 x_{8} & -0.74 x_{18} & -5.79 x_{1}\\
 x_{28}   &  67.1453642776 & +  0.04 x_{31} & -14.26 x_{4} & -0.17 x_{25} & +  0.84 x_{30} & -0.42 x_{20} & -0.81 x_{19} & + 10.64 x_{12} & -6.37 x_{11} & -0.88 x_{29} & -2.74 x_{14} & +  0.08 x_{32} & -0.29 x_{26} & + 13.39 x_{9} & -19.36 x_{8} & -0.27 x_{18} & -1.03 x_{1}\\
 x_{16}   &  11.1801372965 & -0.09 x_{31} & -0.81 x_{4} & -0.03 x_{25} & -0.13 x_{30} & +  0.11 x_{20} & +  0.11 x_{19} & -2.51 x_{12} & -0.84 x_{11} & +  0.10 x_{29} & +  0.11 x_{14} & -0.14 x_{32} & +  0.05 x_{26} & -4.67 x_{9} & +  2.25 x_{8} & -0.01 x_{18} & -0.88 x_{1}\\
 x_{3}   &  11.1612055647 & -0.10 x_{31} & -0.58 x_{4} & -0.03 x_{25} & -0.05 x_{30} & +  0.06 x_{20} & +  0.04 x_{19} & -2.06 x_{12} & -1.08 x_{11} & +  0.02 x_{29} & -0.26 x_{14} & -0.09 x_{32} & -0.02 x_{26} & -3.05 x_{9} & +  0.45 x_{8} & -0.00 x_{18} & -0.29 x_{1}\\
 x_{15}   &  5.57972732293 & -0.03 x_{31} & -0.92 x_{4} & -0.03 x_{25} & +  0.03 x_{30} & -0.01 x_{20} & -0.07 x_{19} & +  0.14 x_{12} & -0.43 x_{11} & -0.03 x_{29} & +  0.16 x_{14} & -0.05 x_{32} & -0.00 x_{26} & -0.04 x_{9} & -0.33 x_{8} & -0.02 x_{18} & -0.46 x_{1}\\
 x_{27}   &  188.899032764 & -1.75 x_{31} & -8.22 x_{4} & -0.11 x_{25} & -1.51 x_{30} & +  1.24 x_{20} & +  1.23 x_{19} & -28.19 x_{12} & -21.47 x_{11} & +  0.79 x_{29} & +  8.78 x_{14} & -2.12 x_{32} & +  0.06 x_{26} & -50.39 x_{9} & + 22.06 x_{8} & -0.92 x_{18} & -6.80 x_{1}\\
\hline
z    &  102.378492654 & -0.53 x_{31} & -18.77 x_{4} & -0.61 x_{25} & +  0.52 x_{30} & -0.09 x_{20} & -0.27 x_{19} & -8.76 x_{12} & -8.78 x_{11} & -0.13 x_{29} & -1.18 x_{14} & -0.65 x_{32} & -0.14 x_{26} & -9.46 x_{9} & -1.38 x_{8} & -0.08 x_{18} & -3.01 x_{1}\\
\end{array}\]


 $ x_{30} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  65.2245608462 & -0.78 x_{31} & +  7.01 x_{4} & -0.43 x_{25} & + 11.17 x_{13} & +  0.48 x_{20} & +  0.26 x_{19} & -21.65 x_{12} & -2.24 x_{11} & -0.38 x_{29} & +  1.65 x_{14} & -0.11 x_{32} & -0.11 x_{26} & -14.16 x_{9} & -15.10 x_{8} & +  0.02 x_{18} & -5.39 x_{1}\\
 x_{10}   &  6.84768877361 & -0.02 x_{31} & -0.77 x_{4} & +  0.02 x_{25} & -1.17 x_{13} & -0.00 x_{20} & +  0.01 x_{19} & -0.69 x_{12} & -0.48 x_{11} & +  0.05 x_{29} & -0.01 x_{14} & -0.06 x_{32} & -0.03 x_{26} & -1.09 x_{9} & +  0.81 x_{8} & +  0.00 x_{18} & +  0.87 x_{1}\\
 x_{7}   &  9.76829527347 & -0.02 x_{31} & -1.63 x_{4} & -0.04 x_{25} & -1.47 x_{13} & -0.07 x_{20} & -0.08 x_{19} & +  0.81 x_{12} & -0.18 x_{11} & +  0.03 x_{29} & +  0.72 x_{14} & -0.02 x_{32} & -0.05 x_{26} & -0.45 x_{9} & -0.76 x_{8} & -0.04 x_{18} & +  0.32 x_{1}\\
 x_{5}   &  5.61679313542 & -0.13 x_{31} & -0.39 x_{4} & +  0.01 x_{25} & +  1.60 x_{13} & +  0.14 x_{20} & +  0.19 x_{19} & -3.61 x_{12} & -0.57 x_{11} & +  0.04 x_{29} & -1.64 x_{14} & -0.11 x_{32} & +  0.09 x_{26} & -3.77 x_{9} & +  1.62 x_{8} & +  0.06 x_{18} & -0.06 x_{1}\\
 x_{6}   &  7.75977549363 & -0.04 x_{31} & -0.89 x_{4} & -0.05 x_{25} & +  0.58 x_{13} & +  0.03 x_{20} & +  0.05 x_{19} & -1.20 x_{12} & -0.29 x_{11} & +  0.00 x_{29} & -0.50 x_{14} & -0.07 x_{32} & +  0.02 x_{26} & -1.93 x_{9} & +  0.25 x_{8} & +  0.02 x_{18} & -0.49 x_{1}\\
 x_{22}   &  188.126033183 & -0.22 x_{31} & -24.21 x_{4} & -0.57 x_{25} & -26.27 x_{13} & -0.59 x_{20} & -0.49 x_{19} & +  7.68 x_{12} & -9.51 x_{11} & +  0.78 x_{29} & -1.40 x_{14} & -0.93 x_{32} & -0.74 x_{26} & -27.68 x_{9} & -8.12 x_{8} & -0.29 x_{18} & +  1.32 x_{1}\\
 x_{23}   &  55.3440180527 & -2.34 x_{31} & + 28.56 x_{4} & +  0.10 x_{25} & + 54.82 x_{13} & +  3.74 x_{20} & +  4.24 x_{19} & -84.38 x_{12} & -20.59 x_{11} & +  0.13 x_{29} & -46.12 x_{14} & -1.34 x_{32} & +  1.82 x_{26} & -78.50 x_{9} & + 27.31 x_{8} & +  2.50 x_{18} & -6.85 x_{1}\\
 x_{30}   &  78.6004551068 & +  0.04 x_{31} & -11.42 x_{4} & +  0.03 x_{25} & -21.00 x_{13} & -0.46 x_{20} & -0.21 x_{19} & +  7.76 x_{12} & -1.37 x_{11} & +  0.54 x_{29} & + 11.95 x_{14} & -0.61 x_{32} & -0.17 x_{26} & -7.50 x_{9} & +  2.98 x_{8} & -0.96 x_{18} & -1.90 x_{1}\\
 x_{24}   &  142.23577039 & -0.44 x_{31} & -19.97 x_{4} & -0.68 x_{25} & -10.86 x_{13} & -1.24 x_{20} & -1.62 x_{19} & + 21.20 x_{12} & -5.15 x_{11} & -0.10 x_{29} & +  2.94 x_{14} & -0.53 x_{32} & -0.91 x_{26} & -1.09 x_{9} & -24.42 x_{8} & -0.79 x_{18} & -4.21 x_{1}\\
 x_{2}   &  11.393265183 & -0.11 x_{31} & -1.17 x_{4} & -0.08 x_{25} & +  0.85 x_{13} & +  0.13 x_{20} & +  0.07 x_{19} & -2.90 x_{12} & -0.90 x_{11} & +  0.03 x_{29} & -0.55 x_{14} & -0.09 x_{32} & -0.02 x_{26} & -3.81 x_{9} & +  0.38 x_{8} & +  0.00 x_{18} & -0.58 x_{1}\\
 x_{21}   &  147.701476514 & -1.26 x_{31} & -22.55 x_{4} & -0.79 x_{25} & + 10.28 x_{13} & +  1.09 x_{20} & +  0.99 x_{19} & -29.61 x_{12} & -16.69 x_{11} & +  0.49 x_{29} & +  4.20 x_{14} & -1.40 x_{32} & +  0.21 x_{26} & -47.46 x_{9} & +  1.45 x_{8} & -0.27 x_{18} & -4.86 x_{1}\\
 x_{28}   &  133.489561652 & +  0.07 x_{31} & -23.90 x_{4} & -0.15 x_{25} & -17.73 x_{13} & -0.80 x_{20} & -0.99 x_{19} & + 17.19 x_{12} & -7.53 x_{11} & -0.42 x_{29} & +  7.35 x_{14} & -0.43 x_{32} & -0.43 x_{26} & +  7.06 x_{9} & -16.85 x_{8} & -1.09 x_{18} & -2.64 x_{1}\\
 x_{16}   &  0.982725237939 & -0.09 x_{31} & +  0.67 x_{4} & -0.03 x_{25} & +  2.72 x_{13} & +  0.17 x_{20} & +  0.14 x_{19} & -3.52 x_{12} & -0.66 x_{11} & +  0.03 x_{29} & -1.44 x_{14} & -0.07 x_{32} & +  0.07 x_{26} & -3.70 x_{9} & +  1.87 x_{8} & +  0.11 x_{18} & -0.63 x_{1}\\
 x_{3}   &  7.17118922462 & -0.11 x_{31} & -0.00 x_{4} & -0.03 x_{25} & +  1.07 x_{13} & +  0.08 x_{20} & +  0.05 x_{19} & -2.45 x_{12} & -1.01 x_{11} & -0.01 x_{29} & -0.87 x_{14} & -0.06 x_{32} & -0.02 x_{26} & -2.67 x_{9} & +  0.30 x_{8} & +  0.05 x_{18} & -0.19 x_{1}\\
 x_{15}   &  8.22095372051 & -0.03 x_{31} & -1.31 x_{4} & -0.03 x_{25} & -0.71 x_{13} & -0.03 x_{20} & -0.08 x_{19} & +  0.40 x_{12} & -0.48 x_{11} & -0.01 x_{29} & +  0.56 x_{14} & -0.07 x_{32} & -0.01 x_{26} & -0.30 x_{9} & -0.23 x_{8} & -0.05 x_{18} & -0.52 x_{1}\\
 x_{27}   &  70.1950798675 & -1.81 x_{31} & +  9.03 x_{4} & -0.15 x_{25} & + 31.72 x_{13} & +  1.92 x_{20} & +  1.55 x_{19} & -39.91 x_{12} & -19.39 x_{11} & -0.03 x_{29} & -9.26 x_{14} & -1.20 x_{32} & +  0.32 x_{26} & -39.06 x_{9} & + 17.56 x_{8} & +  0.54 x_{18} & -3.93 x_{1}\\
\hline
z    &  142.877578863 & -0.51 x_{31} & -24.66 x_{4} & -0.60 x_{25} & -10.82 x_{13} & -0.33 x_{20} & -0.38 x_{19} & -4.76 x_{12} & -9.49 x_{11} & +  0.15 x_{29} & +  4.98 x_{14} & -0.96 x_{32} & -0.22 x_{26} & -13.33 x_{9} & +  0.16 x_{8} & -0.57 x_{18} & -3.99 x_{1}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  4.31869261617 & -0.05 x_{31} & +  0.46 x_{4} & -0.03 x_{25} & +  0.74 x_{13} & +  0.03 x_{20} & +  0.02 x_{19} & -1.43 x_{12} & -0.15 x_{11} & -0.02 x_{29} & +  0.11 x_{14} & -0.01 x_{32} & -0.01 x_{26} & -0.94 x_{9} & -0.07 x_{17} & +  0.00 x_{18} & -0.36 x_{1}\\
 x_{10}   &  10.3549866347 & -0.06 x_{31} & -0.40 x_{4} & -0.00 x_{25} & -0.57 x_{13} & +  0.02 x_{20} & +  0.03 x_{19} & -1.85 x_{12} & -0.60 x_{11} & +  0.03 x_{29} & +  0.08 x_{14} & -0.07 x_{32} & -0.03 x_{26} & -1.85 x_{9} & -0.05 x_{17} & +  0.00 x_{18} & +  0.58 x_{1}\\
 x_{7}   &  6.47050119036 & +  0.02 x_{31} & -1.99 x_{4} & -0.02 x_{25} & -2.03 x_{13} & -0.10 x_{20} & -0.09 x_{19} & +  1.90 x_{12} & -0.06 x_{11} & +  0.05 x_{29} & +  0.64 x_{14} & -0.01 x_{32} & -0.05 x_{26} & +  0.27 x_{9} & +  0.05 x_{17} & -0.04 x_{18} & +  0.59 x_{1}\\
 x_{5}   &  12.6209131181 & -0.21 x_{31} & +  0.36 x_{4} & -0.04 x_{25} & +  2.80 x_{13} & +  0.19 x_{20} & +  0.22 x_{19} & -5.94 x_{12} & -0.81 x_{11} & +  0.00 x_{29} & -1.46 x_{14} & -0.12 x_{32} & +  0.07 x_{26} & -5.29 x_{9} & -0.11 x_{17} & +  0.06 x_{18} & -0.64 x_{1}\\
 x_{6}   &  8.85134698926 & -0.06 x_{31} & -0.77 x_{4} & -0.05 x_{25} & +  0.77 x_{13} & +  0.04 x_{20} & +  0.06 x_{19} & -1.56 x_{12} & -0.33 x_{11} & -0.00 x_{29} & -0.48 x_{14} & -0.08 x_{32} & +  0.02 x_{26} & -2.17 x_{9} & -0.02 x_{17} & +  0.02 x_{18} & -0.58 x_{1}\\
 x_{22}   &  153.053898325 & +  0.20 x_{31} & -27.98 x_{4} & -0.34 x_{25} & -32.28 x_{13} & -0.85 x_{20} & -0.63 x_{19} & + 19.33 x_{12} & -8.31 x_{11} & +  0.98 x_{29} & -2.28 x_{14} & -0.87 x_{32} & -0.68 x_{26} & -20.06 x_{9} & +  0.54 x_{17} & -0.30 x_{18} & +  4.22 x_{1}\\
 x_{23}   &  173.304108929 & -3.75 x_{31} & + 41.25 x_{4} & -0.67 x_{25} & + 75.02 x_{13} & +  4.60 x_{20} & +  4.70 x_{19} & -123.54 x_{12} & -24.64 x_{11} & -0.55 x_{29} & -43.13 x_{14} & -1.54 x_{32} & +  1.63 x_{26} & -104.11 x_{9} & -1.81 x_{17} & +  2.53 x_{18} & -16.60 x_{1}\\
 x_{30}   &  91.4572948014 & -0.11 x_{31} & -10.04 x_{4} & -0.06 x_{25} & -18.80 x_{13} & -0.36 x_{20} & -0.16 x_{19} & +  3.49 x_{12} & -1.82 x_{11} & +  0.47 x_{29} & + 12.27 x_{14} & -0.63 x_{32} & -0.19 x_{26} & -10.29 x_{9} & -0.20 x_{17} & -0.96 x_{18} & -2.97 x_{1}\\
 x_{24}   &  36.7889729049 & +  0.82 x_{31} & -31.31 x_{4} & +  0.01 x_{25} & -28.92 x_{13} & -2.01 x_{20} & -2.04 x_{19} & + 56.20 x_{12} & -1.53 x_{11} & +  0.50 x_{29} & +  0.26 x_{14} & -0.35 x_{32} & -0.74 x_{26} & + 21.80 x_{9} & +  1.62 x_{17} & -0.81 x_{18} & +  4.50 x_{1}\\
 x_{2}   &  13.0385150768 & -0.13 x_{31} & -1.00 x_{4} & -0.09 x_{25} & +  1.14 x_{13} & +  0.14 x_{20} & +  0.08 x_{19} & -3.44 x_{12} & -0.95 x_{11} & +  0.02 x_{29} & -0.51 x_{14} & -0.10 x_{32} & -0.02 x_{26} & -4.16 x_{9} & -0.03 x_{17} & +  0.00 x_{18} & -0.71 x_{1}\\
 x_{21}   &  153.954132883 & -1.33 x_{31} & -21.88 x_{4} & -0.83 x_{25} & + 11.35 x_{13} & +  1.13 x_{20} & +  1.02 x_{19} & -31.69 x_{12} & -16.90 x_{11} & +  0.46 x_{29} & +  4.36 x_{14} & -1.41 x_{32} & +  0.20 x_{26} & -48.81 x_{9} & -0.10 x_{17} & -0.27 x_{18} & -5.38 x_{1}\\
 x_{28}   &  60.7360803758 & +  0.94 x_{31} & -31.72 x_{4} & +  0.32 x_{25} & -30.18 x_{13} & -1.33 x_{20} & -1.28 x_{19} & + 41.35 x_{12} & -5.03 x_{11} & +  0.00 x_{29} & +  5.50 x_{14} & -0.31 x_{32} & -0.31 x_{26} & + 22.86 x_{9} & +  1.12 x_{17} & -1.10 x_{18} & +  3.38 x_{1}\\
 x_{16}   &  9.05069623325 & -0.19 x_{31} & +  1.54 x_{4} & -0.09 x_{25} & +  4.11 x_{13} & +  0.23 x_{20} & +  0.17 x_{19} & -6.20 x_{12} & -0.94 x_{11} & -0.02 x_{29} & -1.23 x_{14} & -0.08 x_{32} & +  0.06 x_{26} & -5.45 x_{9} & -0.12 x_{17} & +  0.11 x_{18} & -1.30 x_{1}\\
 x_{3}   &  8.46366624555 & -0.12 x_{31} & +  0.14 x_{4} & -0.04 x_{25} & +  1.29 x_{13} & +  0.09 x_{20} & +  0.05 x_{19} & -2.88 x_{12} & -1.06 x_{11} & -0.02 x_{29} & -0.84 x_{14} & -0.06 x_{32} & -0.02 x_{26} & -2.95 x_{9} & -0.02 x_{17} & +  0.05 x_{18} & -0.30 x_{1}\\
 x_{15}   &  7.22516122041 & -0.01 x_{31} & -1.41 x_{4} & -0.02 x_{25} & -0.88 x_{13} & -0.03 x_{20} & -0.08 x_{19} & +  0.73 x_{12} & -0.44 x_{11} & -0.01 x_{29} & +  0.53 x_{14} & -0.07 x_{32} & -0.01 x_{26} & -0.08 x_{9} & +  0.02 x_{17} & -0.05 x_{18} & -0.44 x_{1}\\
 x_{27}   &  146.03822083 & -2.72 x_{31} & + 17.19 x_{4} & -0.64 x_{25} & + 44.70 x_{13} & +  2.48 x_{20} & +  1.85 x_{19} & -65.09 x_{12} & -22.00 x_{11} & -0.47 x_{29} & -7.34 x_{14} & -1.34 x_{32} & +  0.19 x_{26} & -55.52 x_{9} & -1.16 x_{17} & +  0.56 x_{18} & -10.20 x_{1}\\
\hline
z    &  143.561110335 & -0.52 x_{31} & -24.58 x_{4} & -0.60 x_{25} & -10.70 x_{13} & -0.32 x_{20} & -0.38 x_{19} & -4.98 x_{12} & -9.51 x_{11} & +  0.15 x_{29} & +  4.99 x_{14} & -0.96 x_{32} & -0.22 x_{26} & -13.47 x_{9} & -0.01 x_{17} & -0.57 x_{18} & -4.05 x_{1}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{23} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  4.7589694915 & -0.06 x_{31} & +  0.57 x_{4} & -0.03 x_{25} & +  0.93 x_{13} & +  0.04 x_{20} & +  0.03 x_{19} & -1.75 x_{12} & -0.21 x_{11} & -0.03 x_{29} & -0.00 x_{23} & -0.01 x_{32} & -0.00 x_{26} & -1.20 x_{9} & -0.07 x_{17} & +  0.01 x_{18} & -0.40 x_{1}\\
 x_{10}   &  10.6783774964 & -0.07 x_{31} & -0.32 x_{4} & -0.00 x_{25} & -0.43 x_{13} & +  0.03 x_{20} & +  0.04 x_{19} & -2.08 x_{12} & -0.65 x_{11} & +  0.03 x_{29} & -0.00 x_{23} & -0.07 x_{32} & -0.03 x_{26} & -2.04 x_{9} & -0.06 x_{17} & +  0.01 x_{18} & +  0.55 x_{1}\\
 x_{7}   &  9.04367338958 & -0.03 x_{31} & -1.38 x_{4} & -0.03 x_{25} & -0.92 x_{13} & -0.03 x_{20} & -0.02 x_{19} & +  0.07 x_{12} & -0.43 x_{11} & +  0.04 x_{29} & -0.01 x_{23} & -0.04 x_{32} & -0.02 x_{26} & -1.28 x_{9} & +  0.02 x_{17} & -0.00 x_{18} & +  0.35 x_{1}\\
 x_{5}   &  6.75935901277 & -0.08 x_{31} & -1.04 x_{4} & -0.02 x_{25} & +  0.26 x_{13} & +  0.03 x_{20} & +  0.06 x_{19} & -1.76 x_{12} & +  0.03 x_{11} & +  0.02 x_{29} & +  0.03 x_{23} & -0.07 x_{32} & +  0.02 x_{26} & -1.77 x_{9} & -0.05 x_{17} & -0.03 x_{18} & -0.08 x_{1}\\
 x_{6}   &  6.94016270567 & -0.02 x_{31} & -1.22 x_{4} & -0.05 x_{25} & -0.06 x_{13} & -0.01 x_{20} & +  0.01 x_{19} & -0.20 x_{12} & -0.06 x_{11} & +  0.00 x_{29} & +  0.01 x_{23} & -0.06 x_{32} & -0.00 x_{26} & -1.02 x_{9} & +  0.00 x_{17} & -0.01 x_{18} & -0.40 x_{1}\\
 x_{22}   &  143.87293229 & +  0.40 x_{31} & -30.16 x_{4} & -0.30 x_{25} & -36.25 x_{13} & -1.09 x_{20} & -0.88 x_{19} & + 25.87 x_{12} & -7.00 x_{11} & +  1.01 x_{29} & +  0.05 x_{23} & -0.79 x_{32} & -0.77 x_{26} & -14.54 x_{9} & +  0.63 x_{17} & -0.43 x_{18} & +  5.10 x_{1}\\
 x_{14}   &  4.01826089027 & -0.09 x_{31} & +  0.96 x_{4} & -0.02 x_{25} & +  1.74 x_{13} & +  0.11 x_{20} & +  0.11 x_{19} & -2.86 x_{12} & -0.57 x_{11} & -0.01 x_{29} & -0.02 x_{23} & -0.04 x_{32} & +  0.04 x_{26} & -2.41 x_{9} & -0.04 x_{17} & +  0.06 x_{18} & -0.38 x_{1}\\
 x_{30}   &  140.779016755 & -1.18 x_{31} & +  1.70 x_{4} & -0.25 x_{25} & +  2.55 x_{13} & +  0.95 x_{20} & +  1.18 x_{19} & -31.66 x_{12} & -8.83 x_{11} & +  0.31 x_{29} & -0.28 x_{23} & -1.07 x_{32} & +  0.28 x_{26} & -39.92 x_{9} & -0.71 x_{17} & -0.24 x_{18} & -7.69 x_{1}\\
 x_{24}   &  37.8416781636 & +  0.80 x_{31} & -31.06 x_{4} & +  0.00 x_{25} & -28.46 x_{13} & -1.99 x_{20} & -2.01 x_{19} & + 55.45 x_{12} & -1.68 x_{11} & +  0.50 x_{29} & -0.01 x_{23} & -0.36 x_{32} & -0.73 x_{26} & + 21.17 x_{9} & +  1.61 x_{17} & -0.80 x_{18} & +  4.40 x_{1}\\
 x_{2}   &  10.9929433082 & -0.08 x_{31} & -1.48 x_{4} & -0.09 x_{25} & +  0.25 x_{13} & +  0.08 x_{20} & +  0.03 x_{19} & -1.99 x_{12} & -0.66 x_{11} & +  0.03 x_{29} & +  0.01 x_{23} & -0.08 x_{32} & -0.04 x_{26} & -2.93 x_{9} & -0.00 x_{17} & -0.03 x_{18} & -0.52 x_{1}\\
 x_{21}   &  171.481101366 & -1.71 x_{31} & -17.71 x_{4} & -0.89 x_{25} & + 18.93 x_{13} & +  1.60 x_{20} & +  1.49 x_{19} & -44.18 x_{12} & -19.40 x_{11} & +  0.40 x_{29} & -0.10 x_{23} & -1.56 x_{32} & +  0.36 x_{26} & -59.34 x_{9} & -0.28 x_{17} & -0.01 x_{18} & -7.06 x_{1}\\
 x_{28}   &  82.8388419612 & +  0.46 x_{31} & -26.46 x_{4} & +  0.24 x_{25} & -20.62 x_{13} & -0.75 x_{20} & -0.68 x_{19} & + 25.59 x_{12} & -8.17 x_{11} & -0.07 x_{29} & -0.13 x_{23} & -0.50 x_{32} & -0.10 x_{26} & +  9.58 x_{9} & +  0.88 x_{17} & -0.78 x_{18} & +  1.26 x_{1}\\
 x_{16}   &  4.09630827461 & -0.08 x_{31} & +  0.36 x_{4} & -0.07 x_{25} & +  1.96 x_{13} & +  0.10 x_{20} & +  0.04 x_{19} & -2.67 x_{12} & -0.24 x_{11} & -0.00 x_{29} & +  0.03 x_{23} & -0.04 x_{32} & +  0.01 x_{26} & -2.47 x_{9} & -0.07 x_{17} & +  0.04 x_{18} & -0.82 x_{1}\\
 x_{3}   &  5.10160084398 & -0.05 x_{31} & -0.66 x_{4} & -0.02 x_{25} & -0.17 x_{13} & +  0.00 x_{20} & -0.04 x_{19} & -0.48 x_{12} & -0.58 x_{11} & -0.00 x_{29} & +  0.02 x_{23} & -0.03 x_{32} & -0.05 x_{26} & -0.93 x_{9} & +  0.02 x_{17} & -0.00 x_{18} & +  0.03 x_{1}\\
 x_{15}   &  9.36387150518 & -0.06 x_{31} & -0.90 x_{4} & -0.03 x_{25} & +  0.05 x_{13} & +  0.02 x_{20} & -0.02 x_{19} & -0.79 x_{12} & -0.75 x_{11} & -0.01 x_{29} & -0.01 x_{23} & -0.09 x_{32} & +  0.01 x_{26} & -1.36 x_{9} & -0.01 x_{17} & -0.02 x_{18} & -0.65 x_{1}\\
 x_{27}   &  116.545279814 & -2.08 x_{31} & + 10.17 x_{4} & -0.53 x_{25} & + 31.94 x_{13} & +  1.70 x_{20} & +  1.05 x_{19} & -44.06 x_{12} & -17.80 x_{11} & -0.37 x_{29} & +  0.17 x_{23} & -1.07 x_{32} & -0.08 x_{26} & -37.81 x_{9} & -0.86 x_{17} & +  0.13 x_{18} & -7.37 x_{1}\\
\hline
z    &  163.622051934 & -0.95 x_{31} & -19.81 x_{4} & -0.68 x_{25} & -2.02 x_{13} & +  0.21 x_{20} & +  0.17 x_{19} & -19.28 x_{12} & -12.36 x_{11} & +  0.08 x_{29} & -0.12 x_{23} & -1.14 x_{32} & -0.04 x_{26} & -25.53 x_{9} & -0.22 x_{17} & -0.28 x_{18} & -5.97 x_{1}\\
\end{array}\]


 $ x_{19} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  5.30444042026 & -0.05 x_{31} & +  0.12 x_{4} & -0.03 x_{25} & +  0.52 x_{13} & +  0.01 x_{20} & -0.01 x_{24} & -0.95 x_{12} & -0.24 x_{11} & -0.02 x_{29} & -0.00 x_{23} & -0.02 x_{32} & -0.01 x_{26} & -0.90 x_{9} & -0.05 x_{17} & -0.00 x_{18} & -0.34 x_{1}\\
 x_{10}   &  11.3547976586 & -0.05 x_{31} & -0.88 x_{4} & -0.00 x_{25} & -0.94 x_{13} & -0.00 x_{20} & -0.02 x_{24} & -1.09 x_{12} & -0.68 x_{11} & +  0.04 x_{29} & -0.00 x_{23} & -0.07 x_{32} & -0.04 x_{26} & -1.67 x_{9} & -0.03 x_{17} & -0.00 x_{18} & +  0.63 x_{1}\\
 x_{7}   &  8.58966900428 & -0.04 x_{31} & -1.00 x_{4} & -0.03 x_{25} & -0.58 x_{13} & -0.00 x_{20} & +  0.01 x_{24} & -0.60 x_{12} & -0.41 x_{11} & +  0.04 x_{29} & -0.01 x_{23} & -0.03 x_{32} & -0.01 x_{26} & -1.53 x_{9} & +  0.00 x_{17} & +  0.00 x_{18} & +  0.29 x_{1}\\
 x_{5}   &  7.89972471738 & -0.06 x_{31} & -1.97 x_{4} & -0.02 x_{25} & -0.59 x_{13} & -0.03 x_{20} & -0.03 x_{24} & -0.09 x_{12} & -0.02 x_{11} & +  0.04 x_{29} & +  0.03 x_{23} & -0.08 x_{32} & -0.00 x_{26} & -1.13 x_{9} & +  0.00 x_{17} & -0.05 x_{18} & +  0.05 x_{1}\\
 x_{6}   &  7.0524807975 & -0.01 x_{31} & -1.32 x_{4} & -0.05 x_{25} & -0.14 x_{13} & -0.02 x_{20} & -0.00 x_{24} & -0.03 x_{12} & -0.07 x_{11} & +  0.00 x_{29} & +  0.01 x_{23} & -0.06 x_{32} & -0.00 x_{26} & -0.96 x_{9} & +  0.01 x_{17} & -0.01 x_{18} & -0.38 x_{1}\\
 x_{22}   &  127.253940606 & +  0.04 x_{31} & -16.52 x_{4} & -0.30 x_{25} & -23.75 x_{13} & -0.22 x_{20} & +  0.44 x_{24} & +  1.52 x_{12} & -6.27 x_{11} & +  0.79 x_{29} & +  0.06 x_{23} & -0.64 x_{32} & -0.44 x_{26} & -23.84 x_{9} & -0.07 x_{17} & -0.08 x_{18} & +  3.16 x_{1}\\
 x_{14}   &  6.07123172956 & -0.04 x_{31} & -0.73 x_{4} & -0.02 x_{25} & +  0.20 x_{13} & -0.00 x_{20} & -0.05 x_{24} & +  0.14 x_{12} & -0.66 x_{11} & +  0.01 x_{29} & -0.02 x_{23} & -0.06 x_{32} & -0.00 x_{26} & -1.27 x_{9} & +  0.05 x_{17} & +  0.02 x_{18} & -0.15 x_{1}\\
 x_{30}   &  162.9280381 & -0.71 x_{31} & -16.48 x_{4} & -0.25 x_{25} & -14.11 x_{13} & -0.22 x_{20} & -0.59 x_{24} & +  0.79 x_{12} & -9.81 x_{11} & +  0.61 x_{29} & -0.29 x_{23} & -1.27 x_{32} & -0.15 x_{26} & -27.53 x_{9} & +  0.23 x_{17} & -0.71 x_{18} & -5.12 x_{1}\\
 x_{19}   &  18.8393266258 & +  0.40 x_{31} & -15.46 x_{4} & +  0.00 x_{25} & -14.17 x_{13} & -0.99 x_{20} & -0.50 x_{24} & + 27.61 x_{12} & -0.84 x_{11} & +  0.25 x_{29} & -0.00 x_{23} & -0.18 x_{32} & -0.36 x_{26} & + 10.54 x_{9} & +  0.80 x_{17} & -0.40 x_{18} & +  2.19 x_{1}\\
 x_{2}   &  11.4741579088 & -0.07 x_{31} & -1.88 x_{4} & -0.09 x_{25} & -0.11 x_{13} & +  0.06 x_{20} & -0.01 x_{24} & -1.28 x_{12} & -0.68 x_{11} & +  0.03 x_{29} & +  0.01 x_{23} & -0.08 x_{32} & -0.05 x_{26} & -2.67 x_{9} & +  0.02 x_{17} & -0.04 x_{18} & -0.46 x_{1}\\
 x_{21}   &  199.626621737 & -1.12 x_{31} & -40.81 x_{4} & -0.89 x_{25} & -2.24 x_{13} & +  0.12 x_{20} & -0.74 x_{24} & -2.94 x_{12} & -20.65 x_{11} & +  0.77 x_{29} & -0.11 x_{23} & -1.83 x_{32} & -0.18 x_{26} & -43.60 x_{9} & +  0.92 x_{17} & -0.61 x_{18} & -3.79 x_{1}\\
 x_{28}   &  70.0141720064 & +  0.19 x_{31} & -15.94 x_{4} & +  0.24 x_{25} & -10.97 x_{13} & -0.07 x_{20} & +  0.34 x_{24} & +  6.80 x_{12} & -7.60 x_{11} & -0.24 x_{29} & -0.13 x_{23} & -0.38 x_{32} & +  0.14 x_{26} & +  2.40 x_{9} & +  0.34 x_{17} & -0.51 x_{18} & -0.23 x_{1}\\
 x_{16}   &  4.78046704538 & -0.07 x_{31} & -0.20 x_{4} & -0.07 x_{25} & +  1.45 x_{13} & +  0.06 x_{20} & -0.02 x_{24} & -1.66 x_{12} & -0.27 x_{11} & +  0.01 x_{29} & +  0.03 x_{23} & -0.04 x_{32} & +  0.00 x_{26} & -2.09 x_{9} & -0.04 x_{17} & +  0.03 x_{18} & -0.74 x_{1}\\
 x_{3}   &  4.39580188341 & -0.06 x_{31} & -0.08 x_{4} & -0.02 x_{25} & +  0.36 x_{13} & +  0.04 x_{20} & +  0.02 x_{24} & -1.52 x_{12} & -0.55 x_{11} & -0.01 x_{29} & +  0.02 x_{23} & -0.03 x_{32} & -0.04 x_{26} & -1.32 x_{9} & -0.01 x_{17} & +  0.01 x_{18} & -0.06 x_{1}\\
 x_{15}   &  8.91113903857 & -0.07 x_{31} & -0.53 x_{4} & -0.03 x_{25} & +  0.39 x_{13} & +  0.05 x_{20} & +  0.01 x_{24} & -1.45 x_{12} & -0.73 x_{11} & -0.02 x_{29} & -0.01 x_{23} & -0.08 x_{32} & +  0.02 x_{26} & -1.62 x_{9} & -0.03 x_{17} & -0.01 x_{18} & -0.70 x_{1}\\
 x_{27}   &  136.256431489 & -1.66 x_{31} & -6.01 x_{4} & -0.53 x_{25} & + 17.11 x_{13} & +  0.66 x_{20} & -0.52 x_{24} & -15.18 x_{12} & -18.68 x_{11} & -0.11 x_{29} & +  0.17 x_{23} & -1.26 x_{32} & -0.46 x_{26} & -26.78 x_{9} & -0.02 x_{17} & -0.29 x_{18} & -5.08 x_{1}\\
\hline
z    &  166.780771261 & -0.89 x_{31} & -22.40 x_{4} & -0.68 x_{25} & -4.40 x_{13} & +  0.04 x_{20} & -0.08 x_{24} & -14.65 x_{12} & -12.50 x_{11} & +  0.12 x_{29} & -0.12 x_{23} & -1.17 x_{32} & -0.10 x_{26} & -23.76 x_{9} & -0.09 x_{17} & -0.35 x_{18} & -5.60 x_{1}\\
\end{array}\]


 $ x_{20} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  5.58171948371 & -0.04 x_{31} & -0.11 x_{4} & -0.03 x_{25} & +  0.31 x_{13} & -0.01 x_{19} & -0.02 x_{24} & -0.54 x_{12} & -0.25 x_{11} & -0.02 x_{29} & -0.00 x_{23} & -0.02 x_{32} & -0.02 x_{26} & -0.74 x_{9} & -0.04 x_{17} & -0.01 x_{18} & -0.30 x_{1}\\
 x_{10}   &  11.2688754319 & -0.06 x_{31} & -0.81 x_{4} & -0.00 x_{25} & -0.88 x_{13} & +  0.00 x_{19} & -0.02 x_{24} & -1.22 x_{12} & -0.67 x_{11} & +  0.04 x_{29} & -0.00 x_{23} & -0.07 x_{32} & -0.04 x_{26} & -1.71 x_{9} & -0.03 x_{17} & -0.00 x_{18} & +  0.62 x_{1}\\
 x_{7}   &  8.50748358668 & -0.05 x_{31} & -0.94 x_{4} & -0.03 x_{25} & -0.52 x_{13} & +  0.00 x_{19} & +  0.01 x_{24} & -0.72 x_{12} & -0.40 x_{11} & +  0.04 x_{29} & -0.01 x_{23} & -0.03 x_{32} & -0.01 x_{26} & -1.58 x_{9} & +  0.00 x_{17} & +  0.01 x_{18} & +  0.28 x_{1}\\
 x_{5}   &  7.38288958475 & -0.07 x_{31} & -1.55 x_{4} & -0.02 x_{25} & -0.21 x_{13} & +  0.03 x_{19} & -0.02 x_{24} & -0.85 x_{12} & -0.00 x_{11} & +  0.03 x_{29} & +  0.03 x_{23} & -0.08 x_{32} & +  0.01 x_{26} & -1.42 x_{9} & -0.02 x_{17} & -0.04 x_{18} & -0.01 x_{1}\\
 x_{6}   &  6.75523428083 & -0.02 x_{31} & -1.07 x_{4} & -0.05 x_{25} & +  0.08 x_{13} & +  0.02 x_{19} & +  0.00 x_{24} & -0.47 x_{12} & -0.05 x_{11} & +  0.00 x_{29} & +  0.01 x_{23} & -0.06 x_{32} & +  0.00 x_{26} & -1.12 x_{9} & -0.00 x_{17} & -0.00 x_{18} & -0.42 x_{1}\\
 x_{22}   &  123.119970783 & -0.04 x_{31} & -13.13 x_{4} & -0.30 x_{25} & -20.64 x_{13} & +  0.22 x_{19} & +  0.55 x_{24} & -4.54 x_{12} & -6.08 x_{11} & +  0.73 x_{29} & +  0.06 x_{23} & -0.60 x_{32} & -0.37 x_{26} & -26.15 x_{9} & -0.25 x_{17} & +  0.01 x_{18} & +  2.68 x_{1}\\
 x_{14}   &  6.04841429508 & -0.04 x_{31} & -0.71 x_{4} & -0.02 x_{25} & +  0.21 x_{13} & +  0.00 x_{19} & -0.05 x_{24} & +  0.11 x_{12} & -0.66 x_{11} & +  0.01 x_{29} & -0.02 x_{23} & -0.05 x_{32} & -0.00 x_{26} & -1.28 x_{9} & +  0.04 x_{17} & +  0.02 x_{18} & -0.15 x_{1}\\
 x_{30}   &  158.795121412 & -0.80 x_{31} & -13.09 x_{4} & -0.25 x_{25} & -11.00 x_{13} & +  0.22 x_{19} & -0.48 x_{24} & -5.26 x_{12} & -9.63 x_{11} & +  0.55 x_{29} & -0.29 x_{23} & -1.24 x_{32} & -0.07 x_{26} & -29.84 x_{9} & +  0.05 x_{17} & -0.62 x_{18} & -5.60 x_{1}\\
 x_{20}   &  19.0520597982 & +  0.40 x_{31} & -15.64 x_{4} & +  0.00 x_{25} & -14.33 x_{13} & -1.01 x_{19} & -0.50 x_{24} & + 27.92 x_{12} & -0.85 x_{11} & +  0.25 x_{29} & -0.00 x_{23} & -0.18 x_{32} & -0.37 x_{26} & + 10.66 x_{9} & +  0.81 x_{17} & -0.40 x_{18} & +  2.22 x_{1}\\
 x_{2}   &  12.5697489499 & -0.05 x_{31} & -2.78 x_{4} & -0.09 x_{25} & -0.94 x_{13} & -0.06 x_{19} & -0.04 x_{24} & +  0.32 x_{12} & -0.73 x_{11} & +  0.05 x_{29} & +  0.01 x_{23} & -0.09 x_{32} & -0.07 x_{26} & -2.05 x_{9} & +  0.06 x_{17} & -0.06 x_{18} & -0.34 x_{1}\\
 x_{21}   &  201.931503122 & -1.07 x_{31} & -42.70 x_{4} & -0.89 x_{25} & -3.97 x_{13} & -0.12 x_{19} & -0.80 x_{24} & +  0.44 x_{12} & -20.75 x_{11} & +  0.80 x_{29} & -0.11 x_{23} & -1.85 x_{32} & -0.22 x_{26} & -42.31 x_{9} & +  1.01 x_{17} & -0.65 x_{18} & -3.52 x_{1}\\
 x_{28}   &  68.6448402133 & +  0.16 x_{31} & -14.81 x_{4} & +  0.24 x_{25} & -9.94 x_{13} & +  0.07 x_{19} & +  0.38 x_{24} & +  4.79 x_{12} & -7.54 x_{11} & -0.26 x_{29} & -0.13 x_{23} & -0.37 x_{32} & +  0.17 x_{26} & +  1.64 x_{9} & +  0.28 x_{17} & -0.48 x_{18} & -0.39 x_{1}\\
 x_{16}   &  5.98541721654 & -0.04 x_{31} & -1.19 x_{4} & -0.07 x_{25} & +  0.54 x_{13} & -0.06 x_{19} & -0.05 x_{24} & +  0.10 x_{12} & -0.32 x_{11} & +  0.02 x_{29} & +  0.03 x_{23} & -0.05 x_{32} & -0.02 x_{26} & -1.41 x_{9} & +  0.01 x_{17} & +  0.00 x_{18} & -0.60 x_{1}\\
 x_{3}   &  5.15289062088 & -0.05 x_{31} & -0.71 x_{4} & -0.02 x_{25} & -0.21 x_{13} & -0.04 x_{19} & -0.00 x_{24} & -0.41 x_{12} & -0.58 x_{11} & -0.00 x_{29} & +  0.02 x_{23} & -0.03 x_{32} & -0.05 x_{26} & -0.90 x_{9} & +  0.02 x_{17} & -0.00 x_{18} & +  0.03 x_{1}\\
 x_{15}   &  9.81007698112 & -0.05 x_{31} & -1.27 x_{4} & -0.03 x_{25} & -0.29 x_{13} & -0.05 x_{19} & -0.01 x_{24} & -0.14 x_{12} & -0.77 x_{11} & -0.01 x_{29} & -0.01 x_{23} & -0.09 x_{32} & +  0.01 x_{26} & -1.12 x_{9} & +  0.01 x_{17} & -0.03 x_{18} & -0.59 x_{1}\\
 x_{27}   &  148.85980252 & -1.40 x_{31} & -16.35 x_{4} & -0.53 x_{25} & +  7.63 x_{13} & -0.67 x_{19} & -0.85 x_{24} & +  3.29 x_{12} & -19.24 x_{11} & +  0.05 x_{29} & +  0.16 x_{23} & -1.38 x_{32} & -0.71 x_{26} & -19.73 x_{9} & +  0.52 x_{17} & -0.55 x_{18} & -3.61 x_{1}\\
\hline
z    &  167.609637169 & -0.87 x_{31} & -23.08 x_{4} & -0.68 x_{25} & -5.02 x_{13} & -0.04 x_{19} & -0.11 x_{24} & -13.44 x_{12} & -12.54 x_{11} & +  0.13 x_{29} & -0.12 x_{23} & -1.17 x_{32} & -0.11 x_{26} & -23.30 x_{9} & -0.05 x_{17} & -0.37 x_{18} & -5.51 x_{1}\\
\end{array}\]


 $ x_{29} $ enters and $ x_{28} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  1.43665498831 & -0.05 x_{31} & +  0.79 x_{4} & -0.04 x_{25} & +  0.91 x_{13} & -0.02 x_{19} & -0.04 x_{24} & -0.83 x_{12} & +  0.21 x_{11} & +  0.06 x_{28} & +  0.00 x_{23} & +  0.00 x_{32} & -0.03 x_{26} & -0.84 x_{9} & -0.05 x_{17} & +  0.02 x_{18} & -0.28 x_{1}\\
 x_{10}   &  20.7383357577 & -0.03 x_{31} & -2.85 x_{4} & +  0.03 x_{25} & -2.25 x_{13} & +  0.01 x_{19} & +  0.04 x_{24} & -0.56 x_{12} & -1.71 x_{11} & -0.14 x_{28} & -0.02 x_{23} & -0.12 x_{32} & -0.02 x_{26} & -1.49 x_{9} & +  0.01 x_{17} & -0.07 x_{18} & +  0.56 x_{1}\\
 x_{7}   &  18.4077228069 & -0.02 x_{31} & -3.07 x_{4} & +  0.00 x_{25} & -1.95 x_{13} & +  0.01 x_{19} & +  0.07 x_{24} & -0.03 x_{12} & -1.49 x_{11} & -0.14 x_{28} & -0.03 x_{23} & -0.09 x_{32} & +  0.01 x_{26} & -1.34 x_{9} & +  0.04 x_{17} & -0.06 x_{18} & +  0.23 x_{1}\\
 x_{5}   &  15.3091285861 & -0.05 x_{31} & -3.26 x_{4} & +  0.01 x_{25} & -1.35 x_{13} & +  0.04 x_{19} & +  0.03 x_{24} & -0.29 x_{12} & -0.87 x_{11} & -0.12 x_{28} & +  0.02 x_{23} & -0.12 x_{32} & +  0.03 x_{26} & -1.23 x_{9} & +  0.01 x_{17} & -0.10 x_{18} & -0.05 x_{1}\\
 x_{6}   &  6.88353277306 & -0.02 x_{31} & -1.10 x_{4} & -0.05 x_{25} & +  0.06 x_{13} & +  0.02 x_{19} & +  0.01 x_{24} & -0.46 x_{12} & -0.07 x_{11} & -0.00 x_{28} & +  0.01 x_{23} & -0.06 x_{32} & +  0.00 x_{26} & -1.12 x_{9} & -0.00 x_{17} & -0.00 x_{18} & -0.42 x_{1}\\
 x_{22}   &  319.842441643 & +  0.41 x_{31} & -55.59 x_{4} & +  0.37 x_{25} & -49.13 x_{13} & +  0.43 x_{19} & +  1.62 x_{24} & +  9.19 x_{12} & -27.69 x_{11} & -2.87 x_{28} & -0.30 x_{23} & -1.66 x_{32} & +  0.12 x_{26} & -21.46 x_{9} & +  0.56 x_{17} & -1.38 x_{18} & +  1.56 x_{1}\\
 x_{14}   &  9.81194968038 & -0.04 x_{31} & -1.52 x_{4} & -0.00 x_{25} & -0.33 x_{13} & +  0.01 x_{19} & -0.03 x_{24} & +  0.37 x_{12} & -1.08 x_{11} & -0.05 x_{28} & -0.03 x_{23} & -0.08 x_{32} & +  0.01 x_{26} & -1.19 x_{9} & +  0.06 x_{17} & -0.01 x_{18} & -0.17 x_{1}\\
 x_{30}   &  306.800097672 & -0.46 x_{31} & -45.03 x_{4} & +  0.26 x_{25} & -32.44 x_{13} & +  0.38 x_{19} & +  0.33 x_{24} & +  5.07 x_{12} & -25.89 x_{11} & -2.16 x_{28} & -0.56 x_{23} & -2.03 x_{32} & +  0.29 x_{26} & -26.31 x_{9} & +  0.66 x_{17} & -1.66 x_{18} & -6.44 x_{1}\\
 x_{20}   &  86.6706431123 & +  0.56 x_{31} & -30.23 x_{4} & +  0.23 x_{25} & -24.12 x_{13} & -0.94 x_{19} & -0.13 x_{24} & + 32.64 x_{12} & -8.27 x_{11} & -0.99 x_{28} & -0.13 x_{23} & -0.54 x_{32} & -0.20 x_{26} & + 12.27 x_{9} & +  1.09 x_{17} & -0.88 x_{18} & +  1.83 x_{1}\\
 x_{2}   &  25.7737852331 & -0.02 x_{31} & -5.63 x_{4} & -0.04 x_{25} & -2.85 x_{13} & -0.04 x_{19} & +  0.03 x_{24} & +  1.25 x_{12} & -2.18 x_{11} & -0.19 x_{28} & -0.01 x_{23} & -0.16 x_{32} & -0.04 x_{26} & -1.74 x_{9} & +  0.12 x_{17} & -0.15 x_{18} & -0.41 x_{1}\\
 x_{21}   &  417.96719281 & -0.57 x_{31} & -89.32 x_{4} & -0.15 x_{25} & -35.26 x_{13} & +  0.11 x_{19} & +  0.38 x_{24} & + 15.52 x_{12} & -44.48 x_{11} & -3.15 x_{28} & -0.50 x_{23} & -3.01 x_{32} & +  0.31 x_{26} & -37.15 x_{9} & +  1.90 x_{17} & -2.17 x_{18} & -4.75 x_{1}\\
 x_{29}   &  268.518655015 & +  0.62 x_{31} & -57.95 x_{4} & +  0.93 x_{25} & -38.89 x_{13} & +  0.28 x_{19} & +  1.47 x_{24} & + 18.74 x_{12} & -29.49 x_{11} & -3.91 x_{28} & -0.49 x_{23} & -1.45 x_{32} & +  0.66 x_{26} & +  6.41 x_{9} & +  1.11 x_{17} & -1.89 x_{18} & -1.53 x_{1}\\
 x_{16}   &  12.212968065 & -0.03 x_{31} & -2.53 x_{4} & -0.05 x_{25} & -0.36 x_{13} & -0.06 x_{19} & -0.02 x_{24} & +  0.54 x_{12} & -1.00 x_{11} & -0.09 x_{28} & +  0.02 x_{23} & -0.09 x_{32} & -0.01 x_{26} & -1.27 x_{9} & +  0.03 x_{17} & -0.04 x_{18} & -0.64 x_{1}\\
 x_{3}   &  3.99573029696 & -0.05 x_{31} & -0.46 x_{4} & -0.03 x_{25} & -0.04 x_{13} & -0.04 x_{19} & -0.01 x_{24} & -0.49 x_{12} & -0.46 x_{11} & +  0.02 x_{28} & +  0.02 x_{23} & -0.03 x_{32} & -0.05 x_{26} & -0.93 x_{9} & +  0.01 x_{17} & +  0.00 x_{18} & +  0.04 x_{1}\\
 x_{15}   &  7.4078973444 & -0.06 x_{31} & -0.75 x_{4} & -0.04 x_{25} & +  0.06 x_{13} & -0.05 x_{19} & -0.02 x_{24} & -0.31 x_{12} & -0.50 x_{11} & +  0.03 x_{28} & -0.01 x_{23} & -0.08 x_{32} & +  0.00 x_{26} & -1.17 x_{9} & +  0.00 x_{17} & -0.01 x_{18} & -0.58 x_{1}\\
 x_{27}   &  163.625885037 & -1.36 x_{31} & -19.54 x_{4} & -0.48 x_{25} & +  5.49 x_{13} & -0.65 x_{19} & -0.77 x_{24} & +  4.32 x_{12} & -20.86 x_{11} & -0.22 x_{28} & +  0.14 x_{23} & -1.46 x_{32} & -0.67 x_{26} & -19.38 x_{9} & +  0.58 x_{17} & -0.66 x_{18} & -3.70 x_{1}\\
\hline
z    &  203.614459583 & -0.78 x_{31} & -30.85 x_{4} & -0.55 x_{25} & -10.23 x_{13} & -0.01 x_{19} & +  0.09 x_{24} & -10.93 x_{12} & -16.50 x_{11} & -0.52 x_{28} & -0.18 x_{23} & -1.37 x_{32} & -0.02 x_{26} & -22.44 x_{9} & +  0.10 x_{17} & -0.62 x_{18} & -5.71 x_{1}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  27.1296962309 & -1.01 x_{31} & + 14.89 x_{4} & -0.84 x_{25} & + 17.21 x_{13} & -0.36 x_{19} & -0.84 x_{24} & -15.70 x_{12} & +  3.92 x_{11} & +  1.14 x_{28} & +  0.09 x_{23} & +  0.06 x_{32} & -0.55 x_{26} & -15.88 x_{9} & -18.88 x_{8} & +  0.36 x_{18} & -5.28 x_{1}\\
 x_{10}   &  20.9249603195 & -0.04 x_{31} & -2.75 x_{4} & +  0.03 x_{25} & -2.13 x_{13} & +  0.01 x_{19} & +  0.03 x_{24} & -0.66 x_{12} & -1.69 x_{11} & -0.13 x_{28} & -0.02 x_{23} & -0.12 x_{32} & -0.02 x_{26} & -1.60 x_{9} & -0.13 x_{8} & -0.07 x_{18} & +  0.53 x_{1}\\
 x_{7}   &  19.5390333496 & -0.06 x_{31} & -2.45 x_{4} & -0.03 x_{25} & -1.23 x_{13} & -0.00 x_{19} & +  0.03 x_{24} & -0.68 x_{12} & -1.33 x_{11} & -0.10 x_{28} & -0.03 x_{23} & -0.08 x_{32} & -0.01 x_{26} & -2.01 x_{9} & -0.79 x_{8} & -0.05 x_{18} & +  0.01 x_{1}\\
 x_{5}   &  15.6580399284 & -0.07 x_{31} & -3.07 x_{4} & -0.00 x_{25} & -1.13 x_{13} & +  0.03 x_{19} & +  0.02 x_{24} & -0.50 x_{12} & -0.82 x_{11} & -0.10 x_{28} & +  0.02 x_{23} & -0.12 x_{32} & +  0.02 x_{26} & -1.44 x_{9} & -0.24 x_{8} & -0.09 x_{18} & -0.12 x_{1}\\
 x_{6}   &  6.77202494523 & -0.01 x_{31} & -1.16 x_{4} & -0.04 x_{25} & -0.01 x_{13} & +  0.02 x_{19} & +  0.01 x_{24} & -0.39 x_{12} & -0.08 x_{11} & -0.01 x_{28} & +  0.01 x_{23} & -0.06 x_{32} & +  0.00 x_{26} & -1.05 x_{9} & +  0.08 x_{8} & -0.01 x_{18} & -0.40 x_{1}\\
 x_{22}   &  335.103663082 & -0.15 x_{31} & -47.21 x_{4} & -0.09 x_{25} & -39.45 x_{13} & +  0.22 x_{19} & +  1.15 x_{24} & +  0.36 x_{12} & -25.48 x_{11} & -2.22 x_{28} & -0.25 x_{23} & -1.62 x_{32} & -0.19 x_{26} & -30.39 x_{9} & -10.62 x_{8} & -1.17 x_{18} & -1.41 x_{1}\\
 x_{14}   &  11.431554479 & -0.10 x_{31} & -0.63 x_{4} & -0.05 x_{25} & +  0.69 x_{13} & -0.02 x_{19} & -0.08 x_{24} & -0.56 x_{12} & -0.84 x_{11} & +  0.01 x_{28} & -0.02 x_{23} & -0.07 x_{32} & -0.02 x_{26} & -2.14 x_{9} & -1.13 x_{8} & +  0.01 x_{18} & -0.49 x_{1}\\
 x_{30}   &  324.752833475 & -1.12 x_{31} & -35.17 x_{4} & -0.29 x_{25} & -21.05 x_{13} & +  0.14 x_{19} & -0.22 x_{24} & -5.32 x_{12} & -23.29 x_{11} & -1.40 x_{28} & -0.50 x_{23} & -1.99 x_{32} & -0.07 x_{26} & -36.82 x_{9} & -12.50 x_{8} & -1.42 x_{18} & -9.94 x_{1}\\
 x_{20}   &  116.152178814 & -0.53 x_{31} & -14.05 x_{4} & -0.67 x_{25} & -5.42 x_{13} & -1.33 x_{19} & -1.04 x_{24} & + 15.58 x_{12} & -4.01 x_{11} & +  0.25 x_{28} & -0.03 x_{23} & -0.48 x_{32} & -0.80 x_{26} & -4.98 x_{9} & -20.52 x_{8} & -0.48 x_{18} & -3.91 x_{1}\\
 x_{2}   &  28.9579606698 & -0.14 x_{31} & -3.88 x_{4} & -0.14 x_{25} & -0.83 x_{13} & -0.09 x_{19} & -0.07 x_{24} & -0.60 x_{12} & -1.72 x_{11} & -0.06 x_{28} & -0.00 x_{23} & -0.16 x_{32} & -0.10 x_{26} & -3.60 x_{9} & -2.22 x_{8} & -0.11 x_{18} & -1.03 x_{1}\\
 x_{21}   &  469.577851789 & -2.48 x_{31} & -60.99 x_{4} & -1.74 x_{25} & -2.51 x_{13} & -0.58 x_{19} & -1.22 x_{24} & -14.34 x_{12} & -37.01 x_{11} & -0.98 x_{28} & -0.32 x_{23} & -2.90 x_{32} & -0.73 x_{26} & -67.36 x_{9} & -35.92 x_{8} & -1.48 x_{18} & -14.80 x_{1}\\
 x_{29}   &  298.498588969 & -0.49 x_{31} & -41.49 x_{4} & +  0.00 x_{25} & -19.87 x_{13} & -0.11 x_{19} & +  0.54 x_{24} & +  1.40 x_{12} & -25.16 x_{11} & -2.65 x_{28} & -0.39 x_{23} & -1.38 x_{32} & +  0.06 x_{26} & -11.14 x_{9} & -20.87 x_{8} & -1.48 x_{18} & -7.37 x_{1}\\
 x_{16}   &  13.1297729003 & -0.06 x_{31} & -2.03 x_{4} & -0.07 x_{25} & +  0.22 x_{13} & -0.07 x_{19} & -0.04 x_{24} & +  0.01 x_{12} & -0.87 x_{11} & -0.05 x_{28} & +  0.02 x_{23} & -0.09 x_{32} & -0.03 x_{26} & -1.80 x_{9} & -0.64 x_{8} & -0.03 x_{18} & -0.82 x_{1}\\
 x_{3}   &  4.33982496703 & -0.06 x_{31} & -0.27 x_{4} & -0.04 x_{25} & +  0.18 x_{13} & -0.05 x_{19} & -0.02 x_{24} & -0.69 x_{12} & -0.41 x_{11} & +  0.03 x_{28} & +  0.02 x_{23} & -0.03 x_{32} & -0.06 x_{26} & -1.13 x_{9} & -0.24 x_{8} & +  0.01 x_{18} & -0.03 x_{1}\\
 x_{15}   &  7.46204524785 & -0.06 x_{31} & -0.72 x_{4} & -0.04 x_{25} & +  0.10 x_{13} & -0.05 x_{19} & -0.03 x_{24} & -0.34 x_{12} & -0.50 x_{11} & +  0.04 x_{28} & -0.01 x_{23} & -0.08 x_{32} & -0.00 x_{26} & -1.20 x_{9} & -0.04 x_{8} & -0.01 x_{18} & -0.59 x_{1}\\
 x_{27}   &  179.277105902 & -1.94 x_{31} & -10.95 x_{4} & -0.96 x_{25} & + 15.43 x_{13} & -0.86 x_{19} & -1.26 x_{24} & -4.74 x_{12} & -18.60 x_{11} & +  0.44 x_{28} & +  0.19 x_{23} & -1.42 x_{32} & -0.99 x_{26} & -28.54 x_{9} & -10.89 x_{8} & -0.45 x_{18} & -6.75 x_{1}\\
\hline
z    &  206.260896372 & -0.88 x_{31} & -29.40 x_{4} & -0.64 x_{25} & -8.56 x_{13} & -0.04 x_{19} & +  0.01 x_{24} & -12.46 x_{12} & -16.11 x_{11} & -0.41 x_{28} & -0.17 x_{23} & -1.36 x_{32} & -0.08 x_{26} & -23.99 x_{9} & -1.84 x_{8} & -0.58 x_{18} & -6.23 x_{1}\\
\end{array}\]


 $ x_{24} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  32.3633915683 & -1.20 x_{31} & + 17.76 x_{4} & -1.00 x_{25} & + 20.53 x_{13} & -0.43 x_{19} & -1.19 x_{17} & -18.73 x_{12} & +  4.68 x_{11} & +  1.36 x_{28} & +  0.11 x_{23} & +  0.07 x_{32} & -0.65 x_{26} & -18.94 x_{9} & -22.53 x_{8} & +  0.43 x_{18} & -6.30 x_{1}\\
 x_{10}   &  21.9079030889 & -0.08 x_{31} & -2.21 x_{4} & -0.00 x_{25} & -1.51 x_{13} & -0.00 x_{19} & -0.04 x_{17} & -1.23 x_{12} & -1.54 x_{11} & -0.09 x_{28} & -0.02 x_{23} & -0.12 x_{32} & -0.04 x_{26} & -2.17 x_{9} & -0.81 x_{8} & -0.05 x_{18} & +  0.33 x_{1}\\
 x_{7}   &  20.6170478306 & -0.11 x_{31} & -1.86 x_{4} & -0.07 x_{25} & -0.55 x_{13} & -0.01 x_{19} & -0.04 x_{17} & -1.31 x_{12} & -1.17 x_{11} & -0.05 x_{28} & -0.03 x_{23} & -0.08 x_{32} & -0.03 x_{26} & -2.64 x_{9} & -1.54 x_{8} & -0.03 x_{18} & -0.20 x_{1}\\
 x_{5}   &  16.1775420538 & -0.09 x_{31} & -2.78 x_{4} & -0.02 x_{25} & -0.80 x_{13} & +  0.02 x_{19} & -0.02 x_{17} & -0.80 x_{12} & -0.75 x_{11} & -0.08 x_{28} & +  0.02 x_{23} & -0.12 x_{32} & +  0.01 x_{26} & -1.74 x_{9} & -0.60 x_{8} & -0.09 x_{18} & -0.22 x_{1}\\
 x_{6}   &  7.06437767964 & -0.03 x_{31} & -1.00 x_{4} & -0.05 x_{25} & +  0.18 x_{13} & +  0.01 x_{19} & -0.01 x_{17} & -0.56 x_{12} & -0.04 x_{11} & +  0.01 x_{28} & +  0.01 x_{23} & -0.06 x_{32} & -0.00 x_{26} & -1.22 x_{9} & -0.13 x_{8} & -0.00 x_{18} & -0.45 x_{1}\\
 x_{22}   &  372.379434998 & -1.54 x_{31} & -26.75 x_{4} & -1.24 x_{25} & -15.80 x_{13} & -0.27 x_{19} & -1.37 x_{17} & -21.21 x_{12} & -20.09 x_{11} & -0.66 x_{28} & -0.12 x_{23} & -1.54 x_{32} & -0.94 x_{26} & -52.21 x_{9} & -36.57 x_{8} & -0.67 x_{18} & -8.67 x_{1}\\
 x_{14}   &  8.7412424675 & +  0.00 x_{31} & -2.11 x_{4} & +  0.03 x_{25} & -1.01 x_{13} & +  0.02 x_{19} & +  0.10 x_{17} & +  0.99 x_{12} & -1.23 x_{11} & -0.10 x_{28} & -0.03 x_{23} & -0.08 x_{32} & +  0.03 x_{26} & -0.56 x_{9} & +  0.75 x_{8} & -0.02 x_{18} & +  0.04 x_{1}\\
 x_{30}   &  317.565364591 & -0.86 x_{31} & -39.12 x_{4} & -0.07 x_{25} & -25.61 x_{13} & +  0.23 x_{19} & +  0.26 x_{17} & -1.16 x_{12} & -24.33 x_{11} & -1.70 x_{28} & -0.52 x_{23} & -2.01 x_{32} & +  0.08 x_{26} & -32.61 x_{9} & -7.49 x_{8} & -1.52 x_{18} & -8.54 x_{1}\\
 x_{20}   &  82.3343959948 & +  0.72 x_{31} & -32.61 x_{4} & +  0.37 x_{25} & -26.87 x_{13} & -0.88 x_{19} & +  1.25 x_{17} & + 35.15 x_{12} & -8.90 x_{11} & -1.17 x_{28} & -0.14 x_{23} & -0.55 x_{32} & -0.11 x_{26} & + 14.81 x_{9} & +  3.02 x_{8} & -0.93 x_{18} & +  2.67 x_{1}\\
 x_{2}   &  26.7602537883 & -0.05 x_{31} & -5.08 x_{4} & -0.07 x_{25} & -2.22 x_{13} & -0.06 x_{19} & +  0.08 x_{17} & +  0.68 x_{12} & -2.04 x_{11} & -0.15 x_{28} & -0.01 x_{23} & -0.16 x_{32} & -0.06 x_{26} & -2.31 x_{9} & -0.69 x_{8} & -0.14 x_{18} & -0.60 x_{1}\\
 x_{21}   &  430.128812204 & -1.02 x_{31} & -82.65 x_{4} & -0.52 x_{25} & -27.54 x_{13} & -0.06 x_{19} & +  1.45 x_{17} & +  8.49 x_{12} & -42.72 x_{11} & -2.64 x_{28} & -0.46 x_{23} & -2.99 x_{32} & +  0.06 x_{26} & -44.27 x_{9} & -8.47 x_{8} & -2.01 x_{18} & -7.12 x_{1}\\
 x_{29}   &  316.00350378 & -1.14 x_{31} & -31.89 x_{4} & -0.54 x_{25} & -8.76 x_{13} & -0.35 x_{19} & -0.65 x_{17} & -8.73 x_{12} & -22.62 x_{11} & -1.92 x_{28} & -0.33 x_{23} & -1.34 x_{32} & -0.30 x_{26} & -21.38 x_{9} & -33.05 x_{8} & -1.25 x_{18} & -10.78 x_{1}\\
 x_{16}   &  11.6986230907 & -0.01 x_{31} & -2.81 x_{4} & -0.03 x_{25} & -0.69 x_{13} & -0.05 x_{19} & +  0.05 x_{17} & +  0.84 x_{12} & -1.08 x_{11} & -0.11 x_{28} & +  0.02 x_{23} & -0.09 x_{32} & +  0.00 x_{26} & -0.96 x_{9} & +  0.36 x_{8} & -0.05 x_{18} & -0.54 x_{1}\\
 x_{3}   &  3.74723339505 & -0.04 x_{31} & -0.59 x_{4} & -0.02 x_{25} & -0.20 x_{13} & -0.04 x_{19} & +  0.02 x_{17} & -0.35 x_{12} & -0.49 x_{11} & +  0.01 x_{28} & +  0.02 x_{23} & -0.03 x_{32} & -0.05 x_{26} & -0.78 x_{9} & +  0.17 x_{8} & +  0.00 x_{18} & +  0.09 x_{1}\\
 x_{15}   &  6.60148687373 & -0.03 x_{31} & -1.19 x_{4} & -0.02 x_{25} & -0.45 x_{13} & -0.04 x_{19} & +  0.03 x_{17} & +  0.16 x_{12} & -0.62 x_{11} & +  0.00 x_{28} & -0.01 x_{23} & -0.08 x_{32} & +  0.02 x_{26} & -0.70 x_{9} & +  0.56 x_{8} & -0.02 x_{18} & -0.42 x_{1}\\
 x_{27}   &  138.600724966 & -0.43 x_{31} & -33.28 x_{4} & +  0.29 x_{25} & -10.38 x_{13} & -0.32 x_{19} & +  1.50 x_{17} & + 18.80 x_{12} & -24.48 x_{11} & -1.27 x_{28} & +  0.05 x_{23} & -1.51 x_{32} & -0.17 x_{26} & -4.73 x_{9} & + 17.42 x_{8} & -0.99 x_{18} & +  1.17 x_{1}\\
\hline
z    &  206.571245574 & -0.89 x_{31} & -29.23 x_{4} & -0.64 x_{25} & -8.36 x_{13} & -0.05 x_{19} & -0.01 x_{17} & -12.64 x_{12} & -16.07 x_{11} & -0.40 x_{28} & -0.17 x_{23} & -1.36 x_{32} & -0.08 x_{26} & -24.17 x_{9} & -2.06 x_{8} & -0.58 x_{18} & -6.29 x_{1}\\
\end{array}\]
Final Dictionary
Solution:  206.571245574
Num Pivots:  35
\end{document}
